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56167296 = 2731071367
BaseRepresentation
bin1101011001000…
…0101110000000
310220200121001020
43112100232000
5103334323141
65323505440
71251262023
oct326205600
9126617036
1056167296
1129783359
1216988280
13b8375b3
1476611ba
154de7266
hex3590b80

56167296 has 64 divisors (see below), whose sum is σ = 150698880. Its totient is φ = 18533888.

The previous prime is 56167289. The next prime is 56167297. The reversal of 56167296 is 69276165.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56167297) 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, 40405 + ... + 41771.

It is an arithmetic number, because the mean of its divisors is an integer number (2354670).

Almost surely, 256167296 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 56167296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75349440).

56167296 is an abundant number, since it is smaller than the sum of its proper divisors (94531584).

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

56167296 is a wasteful number, since it uses less digits than its factorization.

56167296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1479 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 56167296 is about 7494.4843718564. The cubic root of 56167296 is about 382.9668408144.

The spelling of 56167296 in words is "fifty-six million, one hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1367 1712 2568 2734 3424 4101 5136 5468 6848 8202 10272 10936 13696 16404 20544 21872 32808 41088 43744 65616 87488 131232 146269 174976 262464 292538 438807 524928 585076 877614 1170152 1755228 2340304 3510456 4680608 7020912 9361216 14041824 18722432 28083648 56167296