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87038874 = 23413371117
BaseRepresentation
bin1010011000000…
…01101110011010
320001210000220000
411030001232122
5134240220444
612345313430
72104550436
oct514015632
9201700800
1087038874
114514965a
1225195876
13150561c0
14b7b99c6
157994469
hex5301b9a

87038874 has 80 divisors (see below), whose sum is σ = 215903688. Its totient is φ = 26034048.

The previous prime is 87038851. The next prime is 87038899. The reversal of 87038874 is 47883078.

It can be written as a sum of positive squares in 4 ways, for example, as 55398249 + 31640625 = 7443^2 + 5625^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77364 + ... + 78480.

Almost surely, 287038874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87038874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107951844).

87038874 is an abundant number, since it is smaller than the sum of its proper divisors (128864814).

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

87038874 is a wasteful number, since it uses less digits than its factorization.

87038874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 87038874 is about 9329.4626854927. The cubic root of 87038874 is about 443.1707494858.

The spelling of 87038874 in words is "eighty-seven million, thirty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 481 666 702 962 999 1053 1117 1443 1998 2106 2234 2886 2997 3351 4329 5994 6702 8658 10053 12987 14521 20106 25974 29042 30159 38961 41329 43563 60318 77922 82658 87126 90477 123987 130689 180954 247974 261378 371961 392067 537277 743922 784134 1074554 1115883 1176201 1611831 2231766 2352402 3223662 3347649 4835493 6695298 9670986 14506479 29012958 43519437 87038874