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4429248 = 263172359
BaseRepresentation
bin10000111001010111000000
322100000210020
4100321113000
52113213443
6234533440
752435155
oct20712700
98300706
104429248
11255583a
121597280
13bc1075
1483422c
155c7583
hex4395c0

4429248 has 112 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 1306624.

The previous prime is 4429237. The next prime is 4429253. The reversal of 4429248 is 8429244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75043 + ... + 75101.

Almost surely, 24429248 is an apocalyptic number.

4429248 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 4429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

4429248 is an abundant number, since it is smaller than the sum of its proper divisors (8738112).

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

4429248 is a wasteful number, since it uses less digits than its factorization.

4429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 4429248 is about 2104.5778674119. The cubic root of 4429248 is about 164.2265360355.

It can be divided in two parts, 44 and 29248, that added together give a palindrome (29292).

The spelling of 4429248 in words is "four million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 59 64 68 69 92 96 102 118 136 138 177 184 192 204 236 272 276 354 368 391 408 472 544 552 708 736 782 816 944 1003 1088 1104 1173 1357 1416 1472 1564 1632 1888 2006 2208 2346 2714 2832 3009 3128 3264 3776 4012 4071 4416 4692 5428 5664 6018 6256 8024 8142 9384 10856 11328 12036 12512 16048 16284 18768 21712 23069 24072 25024 32096 32568 37536 43424 46138 48144 64192 65136 69207 75072 86848 92276 96288 130272 138414 184552 192576 260544 276828 369104 553656 738208 1107312 1476416 2214624 4429248