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87674112 = 283238053
BaseRepresentation
bin1010011100111…
…00110100000000
320002222022021100
411032130310000
5134421032422
612411054400
72113134441
oct516346400
9202868240
1087674112
1145542949
1225441400
1315219396
14b9032c8
157a6c7ac
hex539cd00

87674112 has 54 divisors (see below), whose sum is σ = 252792722. Its totient is φ = 29223936.

The previous prime is 87674099. The next prime is 87674173. The reversal of 87674112 is 21147678.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 15492096 = 8496^2 + 3936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16723 + ... + 21330.

Almost surely, 287674112 is an apocalyptic number.

It is an amenable number.

87674112 is an abundant number, since it is smaller than the sum of its proper divisors (165118610).

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

87674112 is a wasteful number, since it uses less digits than its factorization.

87674112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38075 (or 38058 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 87674112 is about 9363.4455196792. The cubic root of 87674112 is about 444.2462719467.

The spelling of 87674112 in words is "eighty-seven million, six hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 38053 76106 114159 152212 228318 304424 342477 456636 608848 684954 913272 1217696 1369908 1826544 2435392 2739816 3653088 4870784 5479632 7306176 9741568 10959264 14612352 21918528 29224704 43837056 87674112