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87234032 = 24232231063
BaseRepresentation
bin1010011001100…
…01010111110000
320002010221121002
411030301113300
5134312442112
612353421132
72106322424
oct514612760
9202127532
1087234032
1145272246
122526a7a8
13150c3c92
14b82ab84
1579d21c2
hex53315f0

87234032 has 40 divisors (see below), whose sum is σ = 177321984. Its totient is φ = 41494464.

The previous prime is 87234013. The next prime is 87234053. The reversal of 87234032 is 23043278.

It is a junction number, because it is equal to n+sod(n) for n = 87233986 and 87234004.

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 7 ways as a sum of consecutive naturals, for example, 81533 + ... + 82595.

Almost surely, 287234032 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 87234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

87234032 is an abundant number, since it is smaller than the sum of its proper divisors (90087952).

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

87234032 is a wasteful number, since it uses less digits than its factorization.

87234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 87234032 is about 9339.9160595800. The cubic root of 87234032 is about 443.5017270991.

The spelling of 87234032 in words is "eighty-seven million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 223 368 446 892 1063 1784 2126 3568 4252 5129 8504 10258 17008 20516 24449 41032 48898 82064 97796 195592 237049 391184 474098 948196 1896392 3792784 5452127 10904254 21808508 43617016 87234032