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87462864 = 24324712923
BaseRepresentation
bin1010011011010…
…01001111010000
320002120120111100
411031221033100
5134342302424
612402344400
72111264526
oct515511720
9202516440
1087462864
1145409165
122535b100
1315174198
14b88a316
157a29dc9
hex53693d0

87462864 has 60 divisors (see below), whose sum is σ = 250001856. Its totient is φ = 28531776.

The previous prime is 87462853. The next prime is 87462883. The reversal of 87462864 is 46826478.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 307 + ... + 13229.

Almost surely, 287462864 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 87462864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125000928).

87462864 is an abundant number, since it is smaller than the sum of its proper divisors (162538992).

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

87462864 is a wasteful number, since it uses less digits than its factorization.

87462864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984 (or 12975 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 87462864 is about 9352.1582535798. The cubic root of 87462864 is about 443.8891858830.

The spelling of 87462864 in words is "eighty-seven million, four hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 12923 25846 38769 51692 77538 103384 116307 155076 206768 232614 310152 465228 607381 620304 930456 1214762 1822143 1860912 2429524 3644286 4859048 5466429 7288572 9718096 10932858 14577144 21865716 29154288 43731432 87462864