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27590056 = 2313614349
BaseRepresentation
bin110100100111…
…1110110101000
31220220201102221
41221033312220
524030340211
62423203424
7453340324
oct151176650
956821387
1027590056
11146348aa
1292a6574
1359400a0
143942984
15264ec71
hex1a4fda8

27590056 has 32 divisors (see below), whose sum is σ = 56637000. Its totient is φ = 12522240.

The previous prime is 27590027. The next prime is 27590077. The reversal of 27590056 is 65009572.

It can be written as a sum of positive squares in 4 ways, for example, as 3481956 + 24108100 = 1866^2 + 4910^2 .

It is a super-2 number, since 2×275900562 = 1522422380166272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4170 + ... + 8518.

Almost surely, 227590056 is an apocalyptic number.

27590056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27590056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28318500).

27590056 is an abundant number, since it is smaller than the sum of its proper divisors (29046944).

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

27590056 is a wasteful number, since it uses less digits than its factorization.

27590056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 27590056 is about 5252.6237253396. The cubic root of 27590056 is about 302.1696633018.

The spelling of 27590056 in words is "twenty-seven million, five hundred ninety thousand, fifty-six".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 4349 6344 8698 17396 34792 56537 113074 226148 265289 452296 530578 1061156 2122312 3448757 6897514 13795028 27590056