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48244284 = 223211294201
BaseRepresentation
bin1011100000001…
…0011000111100
310100210001201100
42320002120330
544322304114
64442013100
71124032614
oct270023074
9110701640
1048244284
1125261710
12141a7190
139cc221a
14659ba44
15437e909
hex2e0263c

48244284 has 72 divisors (see below), whose sum is σ = 137657520. Its totient is φ = 14112000.

The previous prime is 48244253. The next prime is 48244291.

48244284 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9384 + ... + 13584.

It is an arithmetic number, because the mean of its divisors is an integer number (1911910).

Almost surely, 248244284 is an apocalyptic number.

48244284 is a gapful number since it is divisible by the number (44) 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 48244284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68828760).

48244284 is an abundant number, since it is smaller than the sum of its proper divisors (89413236).

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

48244284 is a wasteful number, since it uses less digits than its factorization.

48244284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4246 counting only the distinct ones).

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

The square root of 48244284 is about 6945.8105358554. The cubic root of 48244284 is about 364.0395943726.

The spelling of 48244284 in words is "forty-eight million, two hundred forty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 4201 5742 8402 11484 12603 16804 25206 37809 46211 50412 75618 92422 121829 138633 151236 184844 243658 277266 365487 415899 487316 554532 730974 831798 1096461 1340119 1461948 1663596 2192922 2680238 4020357 4385844 5360476 8040714 12061071 16081428 24122142 48244284