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87075264 = 2631273571
BaseRepresentation
bin1010011000010…
…10100111000000
320001211212210210
411030022213000
5134242402024
612350154120
72105061513
oct514124700
9201755723
1087075264
1145173a31
12251b2940
1315069933
14b7c8d7a
1579a0129
hex530a9c0

87075264 has 56 divisors (see below), whose sum is σ = 232265728. Its totient is φ = 28788480.

The previous prime is 87075229. The next prime is 87075293. The reversal of 87075264 is 46257078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22599 + ... + 26169.

Almost surely, 287075264 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 87075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116132864).

87075264 is an abundant number, since it is smaller than the sum of its proper divisors (145190464).

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

87075264 is a wasteful number, since it uses less digits than its factorization.

87075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 87075264 is about 9331.4127547762. The cubic root of 87075264 is about 443.2325024928.

The spelling of 87075264 in words is "eighty-seven million, seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 3571 4064 6096 7142 8128 10713 12192 14284 21426 24384 28568 42852 57136 85704 114272 171408 228544 342816 453517 685632 907034 1360551 1814068 2721102 3628136 5442204 7256272 10884408 14512544 21768816 29025088 43537632 87075264