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87008688 = 24331315493
BaseRepresentation
bin1010010111110…
…10010110110000
320001201111111000
411023322112300
5134233234223
612344522000
72104363434
oct513722660
9201644430
1087008688
1145128a08
1225180300
1315045540
14b7ac9c4
15798a543
hex52fa5b0

87008688 has 80 divisors (see below), whose sum is σ = 268975840. Its totient is φ = 26770176.

The previous prime is 87008681. The next prime is 87008693. The reversal of 87008688 is 88680078.

It is not an unprimeable number, because it can be changed into a prime (87008681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2131 + ... + 13362.

It is an arithmetic number, because the mean of its divisors is an integer number (3362198).

Almost surely, 287008688 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 87008688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134487920).

87008688 is an abundant number, since it is smaller than the sum of its proper divisors (181967152).

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

87008688 is a wasteful number, since it uses less digits than its factorization.

87008688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15523 (or 15511 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 87008688 is about 9327.8447671474. The cubic root of 87008688 is about 443.1195114645.

The spelling of 87008688 in words is "eighty-seven million, eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 15493 30986 46479 61972 92958 123944 139437 185916 201409 247888 278874 371832 402818 418311 557748 604227 743664 805636 836622 1115496 1208454 1611272 1673244 1812681 2230992 2416908 3222544 3346488 3625362 4833816 5438043 6692976 7250724 9667632 10876086 14501448 21752172 29002896 43504344 87008688