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44228448 = 25321123607
BaseRepresentation
bin1010100010110…
…1111101100000
310002020001000200
42220231331200
542310302243
64215545200
71044635625
oct250557540
9102201020
1044228448
1122a69540
121298b200
1392173a4
145c3434c
153d39ad3
hex2a2df60

44228448 has 144 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 12798720.

The previous prime is 44228423. The next prime is 44228473. The reversal of 44228448 is 84482244.

44228448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44228423) and next prime (44228473).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×442284482 = 3912311224977408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72561 + ... + 73167.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 244228448 is an apocalyptic number.

44228448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44228448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

44228448 is an abundant number, since it is smaller than the sum of its proper divisors (99181728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44228448 is a wasteful number, since it uses less digits than its factorization.

44228448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 44228448 is about 6650.4472030082. The cubic root of 44228448 is about 353.6447647783.

The spelling of 44228448 in words is "forty-four million, two hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 607 736 759 792 828 1012 1056 1104 1214 1518 1584 1656 1821 2024 2208 2277 2428 3036 3168 3312 3642 4048 4554 4856 5463 6072 6624 6677 7284 8096 9108 9712 10926 12144 13354 13961 14568 18216 19424 20031 21852 24288 26708 27922 29136 36432 40062 41883 43704 53416 55844 58272 60093 72864 80124 83766 87408 106832 111688 120186 125649 153571 160248 167532 174816 213664 223376 240372 251298 307142 320496 335064 446752 460713 480744 502596 614284 640992 670128 921426 961488 1005192 1228568 1340256 1382139 1842852 1922976 2010384 2457136 2764278 3685704 4020768 4914272 5528556 7371408 11057112 14742816 22114224 44228448