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56713032 = 23322321489
BaseRepresentation
bin1101100001010…
…1111101001000
310221201022122200
43120111331020
5104004304112
65343320200
71256024055
oct330257510
9127638580
1056713032
112a016382
1216bb0060
13b998b0c
14776402c
154ea3cdc
hex3615f48

56713032 has 72 divisors (see below), whose sum is σ = 160674150. Its totient is φ = 18070272.

The previous prime is 56712991. The next prime is 56713049. The reversal of 56713032 is 23031765.

It is a happy number.

56713032 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 only one way, i.e., 53494596 + 3218436 = 7314^2 + 1794^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 56712987 and 56713005.

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 17 ways as a sum of consecutive naturals, for example, 37344 + ... + 38832.

Almost surely, 256713032 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 56713032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80337075).

56713032 is an abundant number, since it is smaller than the sum of its proper divisors (103961118).

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

56713032 is a wasteful number, since it uses less digits than its factorization.

56713032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56713032 is about 7530.8055346025. The cubic root of 56713032 is about 384.2031802357.

Adding to 56713032 its reverse (23031765), we get a palindrome (79744797).

The spelling of 56713032 in words is "fifty-six million, seven hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1489 1587 1656 2116 2978 3174 4232 4467 4761 5956 6348 8934 9522 11912 12696 13401 17868 19044 26802 34247 35736 38088 53604 68494 102741 107208 136988 205482 273976 308223 410964 616446 787681 821928 1232892 1575362 2363043 2465784 3150724 4726086 6301448 7089129 9452172 14178258 18904344 28356516 56713032