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56907344 = 2413416673
BaseRepresentation
bin1101100100010…
…1011001010000
310222002012012102
43121011121100
5104032013334
65351415532
71260463424
oct331053120
9128065172
1056907344
112a13936a
12170845a8
13ba363b0
1477b4b84
154ee167e
hex3645650

56907344 has 40 divisors (see below), whose sum is σ = 121653672. Its totient is φ = 25620480.

The previous prime is 56907343. The next prime is 56907349. The reversal of 56907344 is 44370965.

It can be written as a sum of positive squares in 4 ways, for example, as 7907344 + 49000000 = 2812^2 + 7000^2 .

It is a super-2 number, since 2×569073442 = 6476891602268672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56907298 and 56907307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56907341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5192 + ... + 11864.

Almost surely, 256907344 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 56907344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60826836).

56907344 is an abundant number, since it is smaller than the sum of its proper divisors (64746328).

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

56907344 is a wasteful number, since it uses less digits than its factorization.

56907344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 56907344 is about 7543.6956460345. The cubic root of 56907344 is about 384.6414697877.

The spelling of 56907344 in words is "fifty-six million, nine hundred seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 6673 8528 13346 26692 53384 86749 106768 173498 273593 346996 547186 693992 1094372 1387984 2188744 3556709 4377488 7113418 14226836 28453672 56907344