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87285312 = 2632151537
BaseRepresentation
bin1010011001111…
…01111001000000
320002020112221100
411030331321000
5134321112222
612354454400
72106625062
oct514757100
9202215840
1087285312
11452a7824
1225294400
131511141a
14b841732
1579e24ac
hex533de40

87285312 has 42 divisors (see below), whose sum is σ = 250189238. Its totient is φ = 29094912.

The previous prime is 87285307. The next prime is 87285343. The reversal of 87285312 is 21358278.

It can be written as a sum of positive squares in only one way, i.e., 78428736 + 8856576 = 8856^2 + 2976^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 75193 + ... + 76344.

Almost surely, 287285312 is an apocalyptic number.

It is an amenable number.

87285312 is an abundant number, since it is smaller than the sum of its proper divisors (162903926).

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

87285312 is a wasteful number, since it uses less digits than its factorization.

87285312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151555 (or 151542 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 87285312 is about 9342.6608629448. The cubic root of 87285312 is about 443.5886133487.

The spelling of 87285312 in words is "eighty-seven million, two hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 151537 303074 454611 606148 909222 1212296 1363833 1818444 2424592 2727666 3636888 4849184 5455332 7273776 9698368 10910664 14547552 21821328 29095104 43642656 87285312