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87616272 = 2434771547
BaseRepresentation
bin1010011100011…
…10101100010000
320002212100221010
411032032230100
5134412210042
612405530520
72112504012
oct516165420
9202770833
1087616272
1145503447
1225413a40
13151c8c63
14b8ca1b2
157a5a59c
hex538eb10

87616272 has 80 divisors (see below), whose sum is σ = 234842112. Its totient is φ = 28129920.

The previous prime is 87616253. The next prime is 87616301. The reversal of 87616272 is 27261678.

It is a super-2 number, since 2×876162722 = 15353222238355968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87616272.

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, 159903 + ... + 160449.

Almost surely, 287616272 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 87616272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117421056).

87616272 is an abundant number, since it is smaller than the sum of its proper divisors (147225840).

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

87616272 is a wasteful number, since it uses less digits than its factorization.

87616272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 87616272 is about 9360.3564034710. The cubic root of 87616272 is about 444.1485583557.

The spelling of 87616272 in words is "eighty-seven million, six hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 71 94 141 142 188 213 282 284 376 426 547 564 568 752 852 1094 1128 1136 1641 1704 2188 2256 3282 3337 3408 4376 6564 6674 8752 10011 13128 13348 20022 25709 26256 26696 38837 40044 51418 53392 77127 77674 80088 102836 116511 154254 155348 160176 205672 233022 308508 310696 411344 466044 617016 621392 932088 1234032 1825339 1864176 3650678 5476017 7301356 10952034 14602712 21904068 29205424 43808136 87616272