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5585256 = 233277573
BaseRepresentation
bin10101010011100101101000
3101111202112100
4111103211220
52412212011
6315413400
765321355
oct25234550
911452470
105585256
113175316
121a54260
1312072b1
14a5562c
15754d56
hex553968

5585256 has 24 divisors (see below), whose sum is σ = 15126930. Its totient is φ = 1861728.

The previous prime is 5585233. The next prime is 5585273. The reversal of 5585256 is 6525855.

5585256 is a `hidden beast` number, since 558 + 52 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3132900 + 2452356 = 1770^2 + 1566^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5585256.

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, 38715 + ... + 38858.

Almost surely, 25585256 is an apocalyptic number.

It is an amenable number.

5585256 is an abundant number, since it is smaller than the sum of its proper divisors (9541674).

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

5585256 is a wasteful number, since it uses less digits than its factorization.

5585256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77585 (or 77578 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 5585256 is about 2363.3146214586. The cubic root of 5585256 is about 177.4248150798.

The spelling of 5585256 in words is "five million, five hundred eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 77573 155146 232719 310292 465438 620584 698157 930876 1396314 1861752 2792628 5585256