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56252896 = 2571072347
BaseRepresentation
bin1101011010010…
…1100111100000
310220211221110121
43112211213200
5103400043041
65325410024
71252066420
oct326454740
9126757417
1056252896
11298316a7
1216a09914
13b86754b
147684480
154e127d1
hex35a59e0

56252896 has 48 divisors (see below), whose sum is σ = 127806336. Its totient is φ = 23872896.

The previous prime is 56252887. The next prime is 56252921. The reversal of 56252896 is 69825265.

56252896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22795 + ... + 25141.

It is an arithmetic number, because the mean of its divisors is an integer number (2662632).

Almost surely, 256252896 is an apocalyptic number.

56252896 is a gapful number since it is divisible by the number (56) 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 56252896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63903168).

56252896 is an abundant number, since it is smaller than the sum of its proper divisors (71553440).

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

56252896 is a wasteful number, since it uses less digits than its factorization.

56252896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2463 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 56252896 is about 7500.1930641817. The cubic root of 56252896 is about 383.1612915865.

The spelling of 56252896 in words is "fifty-six million, two hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2347 2996 3424 4694 5992 9388 11984 16429 18776 23968 32858 37552 65716 75104 131432 251129 262864 502258 525728 1004516 1757903 2009032 3515806 4018064 7031612 8036128 14063224 28126448 56252896