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56062656 = 2632137487
BaseRepresentation
bin1101010111011…
…1001011000000
310220111021111200
43111313023000
5103323001111
65321341200
71250344656
oct325671300
9126437450
1056062656
1129711781
1216937800
13b7cba90
147634dd6
154dc6256
hex35772c0

56062656 has 84 divisors (see below), whose sum is σ = 173077632. Its totient is φ = 17247744.

The previous prime is 56062637. The next prime is 56062667. The reversal of 56062656 is 65626065.

56062656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 56062656.

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 11 ways as a sum of consecutive naturals, for example, 3745 + ... + 11231.

It is an arithmetic number, because the mean of its divisors is an integer number (2060448).

Almost surely, 256062656 is an apocalyptic number.

It is a pronic number, being equal to 7487×7488.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56062656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538816).

56062656 is an abundant number, since it is smaller than the sum of its proper divisors (117014976).

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

56062656 is a wasteful number, since it uses less digits than its factorization.

56062656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56062656 is about 7487.4999833055. The cubic root of 56062656 is about 382.7288698201.

The spelling of 56062656 in words is "fifty-six million, sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7487 7488 14974 22461 29948 44922 59896 67383 89844 97331 119792 134766 179688 194662 239584 269532 291993 359376 389324 479168 539064 583986 718752 778648 875979 1078128 1167972 1437504 1557296 1751958 2156256 2335944 3114592 3503916 4312512 4671888 6229184 7007832 9343776 14015664 18687552 28031328 56062656