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27987264 = 263248589
BaseRepresentation
bin110101011000…
…0110101000000
31221122220022100
41222300311000
524131043024
62435510400
7456613344
oct152606500
957586270
1027987264
1114886278
129458400
135a4bb16
143a07624
1526cc7c9
hex1ab0d40

27987264 has 42 divisors (see below), whose sum is σ = 80222090. Its totient is φ = 9328896.

The previous prime is 27987259. The next prime is 27987283. The reversal of 27987264 is 46278972.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 2585664 = 5040^2 + 1608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23719 + ... + 24870.

Almost surely, 227987264 is an apocalyptic number.

27987264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27987264 is an abundant number, since it is smaller than the sum of its proper divisors (52234826).

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

27987264 is a wasteful number, since it uses less digits than its factorization.

27987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48607 (or 48594 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27987264 is about 5290.2990463678. The cubic root of 27987264 is about 303.6128497324.

It can be divided in two parts, 279872 and 64, that added together give a 7-th power (279936 = 67).

The spelling of 27987264 in words is "twenty-seven million, nine hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 48589 97178 145767 194356 291534 388712 437301 583068 777424 874602 1166136 1554848 1749204 2332272 3109696 3498408 4664544 6996816 9329088 13993632 27987264