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56395746 = 23211416947
BaseRepresentation
bin1101011100100…
…0011111100010
310221010012102100
43113020133202
5103414130441
65332431230
71253233041
oct327103742
9127105370
1056395746
1129919a60
1216a78516
13b8b7584
1476c0558
154e3ecb6
hex35c87e2

56395746 has 48 divisors (see below), whose sum is σ = 136569888. Its totient is φ = 16670400.

The previous prime is 56395739. The next prime is 56395753. The reversal of 56395746 is 64759365.

56395746 is a `hidden beast` number, since 5 + 639 + 5 + 7 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56395739) and next prime (56395753).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4645 + ... + 11591.

It is an arithmetic number, because the mean of its divisors is an integer number (2845206).

Almost surely, 256395746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56395746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68284944).

56395746 is an abundant number, since it is smaller than the sum of its proper divisors (80174142).

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

56395746 is a wasteful number, since it uses less digits than its factorization.

56395746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 7004 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 56395746 is about 7509.7101142454. The cubic root of 56395746 is about 383.4853538611.

The spelling of 56395746 in words is "fifty-six million, three hundred ninety-five thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 6947 8118 13894 20841 41682 62523 76417 125046 152834 229251 284827 458502 569654 687753 854481 1375506 1708962 2563443 3133097 5126886 6266194 9399291 18798582 28197873 56395746