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56052072 = 23322932657
BaseRepresentation
bin1101010111010…
…0100101101000
310220110201222200
43111310211220
5103322131242
65321220200
71250302056
oct325644550
9126421880
1056052072
112970482a
1216931660
13b7c700b
1476311d6
154dc304c
hex3574968

56052072 has 48 divisors (see below), whose sum is σ = 152383140. Its totient is φ = 18613248.

The previous prime is 56052067. The next prime is 56052079. The reversal of 56052072 is 27025065.

56052072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 49364676 + 6687396 = 7026^2 + 2586^2 .

It is not an unprimeable number, because it can be changed into a prime (56052079) by changing a digit.

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, 19768 + ... + 22424.

Almost surely, 256052072 is an apocalyptic number.

It is an amenable number.

56052072 is an abundant number, since it is smaller than the sum of its proper divisors (96331068).

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

56052072 is a wasteful number, since it uses less digits than its factorization.

56052072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 56052072 is about 7486.7931719796. The cubic root of 56052072 is about 382.7047833332.

The spelling of 56052072 in words is "fifty-six million, fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 2657 3516 5274 5314 7032 7971 10548 10628 15942 21096 21256 23913 31884 47826 63768 95652 191304 778501 1557002 2335503 3114004 4671006 6228008 7006509 9342012 14013018 18684024 28026036 56052072