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87615052 = 22731193523
BaseRepresentation
bin1010011100011…
…10011001001100
320002212022020221
411032032121030
5134412140202
612405521124
72112500320
oct516163114
9202768227
1087615052
1145502538
12254131a4
13151c8535
14b8c9980
157a5a037
hex538e64c

87615052 has 48 divisors (see below), whose sum is σ = 182167552. Its totient is φ = 36080640.

The previous prime is 87615019. The next prime is 87615067. The reversal of 87615052 is 25051678.

It is a junction number, because it is equal to n+sod(n) for n = 87614999 and 87615017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167263 + ... + 167785.

Almost surely, 287615052 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 87615052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91083776).

87615052 is an abundant number, since it is smaller than the sum of its proper divisors (94552500).

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

87615052 is a wasteful number, since it uses less digits than its factorization.

87615052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 87615052 is about 9360.2912347854. The cubic root of 87615052 is about 444.1464968522.

The spelling of 87615052 in words is "eighty-seven million, six hundred fifteen thousand, fifty-two".

Divisors: 1 2 4 7 14 28 31 62 124 193 217 386 434 523 772 868 1046 1351 2092 2702 3661 5404 5983 7322 11966 14644 16213 23932 32426 41881 64852 83762 100939 113491 167524 201878 226982 403756 453964 706573 1413146 2826292 3129109 6258218 12516436 21903763 43807526 87615052