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56168384 = 264771263
BaseRepresentation
bin1101011001000…
…0111111000000
310220200122112112
43112100333000
5103334342014
65323514452
71251265136
oct326207700
9126618475
1056168384
1129784158
1216988a28
13b837c3c
147661756
154de773e
hex3590fc0

56168384 has 56 divisors (see below), whose sum is σ = 115872768. Its totient is φ = 26996480.

The previous prime is 56168377. The next prime is 56168419. The reversal of 56168384 is 48386165.

It is a super-2 number, since 2×561683842 = 6309774722342912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213437 + ... + 213699.

Almost surely, 256168384 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 56168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57936384).

56168384 is an abundant number, since it is smaller than the sum of its proper divisors (59704384).

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

56168384 is a wasteful number, since it uses less digits than its factorization.

56168384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 56168384 is about 7494.5569582197. The cubic root of 56168384 is about 382.9693135774.

The spelling of 56168384 in words is "fifty-six million, one hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 47 64 71 94 142 188 263 284 376 526 568 752 1052 1136 1504 2104 2272 3008 3337 4208 4544 6674 8416 12361 13348 16832 18673 24722 26696 37346 49444 53392 74692 98888 106784 149384 197776 213568 298768 395552 597536 791104 877631 1195072 1755262 3510524 7021048 14042096 28084192 56168384