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87378732 = 223272691289
BaseRepresentation
bin1010011010101…
…00101100101100
320002102022002100
411031110230230
5134332104412
612400455100
72110464330
oct515245454
9202368070
1087378732
1145360a31
122531a490
1315144abc
14b8677c0
157a0eedc
hex5354b2c

87378732 has 72 divisors (see below), whose sum is σ = 253562400. Its totient is φ = 24853248.

The previous prime is 87378727. The next prime is 87378757. The reversal of 87378732 is 23787378.

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 23 ways as a sum of consecutive naturals, for example, 67144 + ... + 68432.

It is an arithmetic number, because the mean of its divisors is an integer number (3521700).

Almost surely, 287378732 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 87378732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126781200).

87378732 is an abundant number, since it is smaller than the sum of its proper divisors (166183668).

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

87378732 is a wasteful number, since it uses less digits than its factorization.

87378732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1570 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 87378732 is about 9347.6591722206. The cubic root of 87378732 is about 443.7468120646.

The spelling of 87378732 in words is "eighty-seven million, three hundred seventy-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 269 538 807 1076 1289 1614 1883 2421 2578 3228 3766 3867 4842 5156 5649 7532 7734 9023 9684 11298 11601 15468 16947 18046 22596 23202 27069 33894 36092 46404 54138 67788 81207 108276 162414 324828 346741 693482 1040223 1386964 2080446 2427187 3120669 4160892 4854374 6241338 7281561 9708748 12482676 14563122 21844683 29126244 43689366 87378732