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88725384 = 233211293863
BaseRepresentation
bin1010100100111…
…01011110001000
320011221201100100
411102131132020
5140203203014
612445405400
72125103406
oct522353610
9204851310
1088725384
11460a0770
1225869860
13154c6a37
14bad8476
157bc9009
hex549d788

88725384 has 96 divisors (see below), whose sum is σ = 271252800. Its totient is φ = 25952640.

The previous prime is 88725361. The next prime is 88725389. The reversal of 88725384 is 48352788.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (88725389) by changing a digit.

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, 21037 + ... + 24899.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 288725384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88725384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135626400).

88725384 is an abundant number, since it is smaller than the sum of its proper divisors (182527416).

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

88725384 is a wasteful number, since it uses less digits than its factorization.

88725384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3908 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 88725384 is about 9419.4152684761. The cubic root of 88725384 is about 446.0148265363.

The spelling of 88725384 in words is "eighty-eight million, seven hundred twenty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 3863 5742 7656 7726 11484 11589 15452 22968 23178 30904 34767 42493 46356 69534 84986 92712 112027 127479 139068 169972 224054 254958 278136 336081 339944 382437 448108 509916 672162 764874 896216 1008243 1019832 1232297 1344324 1529748 2016486 2464594 2688648 3059496 3696891 4032972 4929188 7393782 8065944 9858376 11090673 14787564 22181346 29575128 44362692 88725384