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56223872 = 271014349
BaseRepresentation
bin1101011001111…
…0100010000000
310220210110122122
43112132202000
5103343130442
65325023412
71251615665
oct326364200
9126713578
1056223872
1129811911
12169b4b68
13b857283
147677a6c
154e08dd2
hex359e880

56223872 has 32 divisors (see below), whose sum is σ = 113143500. Its totient is φ = 27827200.

The previous prime is 56223857. The next prime is 56223887. The reversal of 56223872 is 27832265.

It is an interprime number because it is at equal distance from previous prime (56223857) and next prime (56223887).

It can be written as a sum of positive squares in 2 ways, for example, as 56190016 + 33856 = 7496^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×562238722 = 6322247565344768, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 10754 + ... + 15102.

Almost surely, 256223872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56571750).

56223872 is an abundant number, since it is smaller than the sum of its proper divisors (56919628).

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

56223872 is a wasteful number, since it uses less digits than its factorization.

56223872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4452 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 56223872 is about 7498.2579310130. The cubic root of 56223872 is about 383.0953821709.

The spelling of 56223872 in words is "fifty-six million, two hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 4349 6464 8698 12928 17396 34792 69584 139168 278336 439249 556672 878498 1756996 3513992 7027984 14055968 28111936 56223872