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56370496 = 267139679
BaseRepresentation
bin1101011100001…
…0010101000000
310221001220210011
43113002111000
5103412323441
65332114304
71253066320
oct327022500
9127056704
1056370496
1129901a96
1216a65994
13b8a8c30
1476b5280
154e37581
hex35c2540

56370496 has 56 divisors (see below), whose sum is σ = 137688320. Its totient is φ = 22298112.

The previous prime is 56370491. The next prime is 56370551. The reversal of 56370496 is 69407365.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56370491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 985 + ... + 10663.

It is an arithmetic number, because the mean of its divisors is an integer number (2458720).

Almost surely, 256370496 is an apocalyptic number.

56370496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56370496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68844160).

56370496 is an abundant number, since it is smaller than the sum of its proper divisors (81317824).

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

56370496 is a wasteful number, since it uses less digits than its factorization.

56370496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9711 (or 9701 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 56370496 is about 7508.0287692576. The cubic root of 56370496 is about 383.4281128376.

The spelling of 56370496 in words is "fifty-six million, three hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 9679 19358 38716 67753 77432 125827 135506 154864 251654 271012 309728 503308 542024 619456 880789 1006616 1084048 1761578 2013232 2168096 3523156 4026464 4336192 7046312 8052928 14092624 28185248 56370496