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56053376 = 271932269
BaseRepresentation
bin1101010111010…
…0111010000000
310220110210202222
43111310322000
5103322202001
65321230212
71250305631
oct325647200
9126423688
1056053376
1129705805
1216932368
13b7c77a2
147631888
154dc361b
hex3574e80

56053376 has 32 divisors (see below), whose sum is σ = 112296900. Its totient is φ = 27869184.

The previous prime is 56053373. The next prime is 56053379. The reversal of 56053376 is 67335065.

It is an interprime number because it is at equal distance from previous prime (56053373) and next prime (56053379).

It can be written as a sum of positive squares in 2 ways, for example, as 46566976 + 9486400 = 6824^2 + 3080^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (56053373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23570 + ... + 25838.

Almost surely, 256053376 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 56053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56148450).

56053376 is an abundant number, since it is smaller than the sum of its proper divisors (56243524).

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

56053376 is a wasteful number, since it uses less digits than its factorization.

56053376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 35.

The square root of 56053376 is about 7486.8802581583. The cubic root of 56053376 is about 382.7077510686.

The spelling of 56053376 in words is "fifty-six million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 193 386 772 1544 2269 3088 4538 6176 9076 12352 18152 24704 36304 72608 145216 290432 437917 875834 1751668 3503336 7006672 14013344 28026688 56053376