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87400384 = 2612710753
BaseRepresentation
bin1010011010110…
…01111111000000
320002110101210021
411031121333000
5134333303014
612401143224
72110614421
oct515317700
9202411707
1087400384
1145376225
122532ab14
1315151906
14b871648
157a16624
hex5359fc0

87400384 has 28 divisors (see below), whose sum is σ = 174817024. Its totient is φ = 43352064.

The previous prime is 87400363. The next prime is 87400393. The reversal of 87400384 is 48300478.

87400384 is an admirable number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2752 + ... + 13504.

Almost surely, 287400384 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 87400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87408512).

87400384 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

87400384 is a wasteful number, since it uses less digits than its factorization.

87400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 87400384 is about 9348.8172513960. The cubic root of 87400384 is about 443.7834617629.

The spelling of 87400384 in words is "eighty-seven million, four hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 10753 21506 43012 86024 172048 344096 688192 1365631 2731262 5462524 10925048 21850096 43700192 87400384