Search a number
-
+
56284512 = 2531733389
BaseRepresentation
bin1101011010110…
…1010101100000
310220220112211120
43112231111200
5103402101022
65330212240
71252260534
oct326552540
9126815746
1056284512
1129853429
1216a24080
13b878a5b
147691bc4
154e1bd5c
hex35ad560

56284512 has 48 divisors (see below), whose sum is σ = 148644720. Its totient is φ = 18647552.

The previous prime is 56284507. The next prime is 56284523. The reversal of 56284512 is 21548265.

56284512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 14914 + ... + 18302.

It is an arithmetic number, because the mean of its divisors is an integer number (3096765).

Almost surely, 256284512 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 56284512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74322360).

56284512 is an abundant number, since it is smaller than the sum of its proper divisors (92360208).

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

56284512 is a wasteful number, since it uses less digits than its factorization.

56284512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3567 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 56284512 is about 7502.3004471962. The cubic root of 56284512 is about 383.2330612758.

The spelling of 56284512 in words is "fifty-six million, two hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 3389 4152 5536 6778 8304 10167 13556 16608 20334 27112 40668 54224 81336 108448 162672 325344 586297 1172594 1758891 2345188 3517782 4690376 7035564 9380752 14071128 18761504 28142256 56284512