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87297056 = 2571171499
BaseRepresentation
bin1010011010000…
…00110000100000
320002021011001022
411031000300200
5134322001211
612355025012
72110004240
oct515006040
9202234038
1087297056
1145305630
122529b168
1315116882
14b845b20
1579e5bdb
hex5340c20

87297056 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 33465600.

The previous prime is 87297037. The next prime is 87297073. The reversal of 87297056 is 65079278.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 87296998 and 87297016.

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, 174695 + ... + 175193.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 287297056 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 87297056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

87297056 is an abundant number, since it is smaller than the sum of its proper divisors (130430944).

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

87297056 is a wasteful number, since it uses less digits than its factorization.

87297056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 87297056 is about 9343.2893565382. The cubic root of 87297056 is about 443.6085070014.

The spelling of 87297056 in words is "eighty-seven million, two hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 71 77 88 112 142 154 176 224 284 308 352 497 499 568 616 781 994 998 1136 1232 1562 1988 1996 2272 2464 3124 3493 3976 3992 5467 5489 6248 6986 7952 7984 10934 10978 12496 13972 15904 15968 21868 21956 24992 27944 35429 38423 43736 43912 55888 70858 76846 87472 87824 111776 141716 153692 174944 175648 248003 283432 307384 389719 496006 566864 614768 779438 992012 1133728 1229536 1558876 1984024 2728033 3117752 3968048 5456066 6235504 7936096 10912132 12471008 21824264 43648528 87297056