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56004168 = 23311307691
BaseRepresentation
bin1101010110100…
…0111001001000
310220101022021110
43111220321020
5103314113133
65320210320
71250012313
oct325507110
9126338243
1056004168
1129681840
12169099a0
13b7ab27c
14761b97a
154db3c63
hex3568e48

56004168 has 64 divisors (see below), whose sum is σ = 153457920. Its totient is φ = 16891200.

The previous prime is 56004163. The next prime is 56004173. The reversal of 56004168 is 86140065.

It is an interprime number because it is at equal distance from previous prime (56004163) and next prime (56004173).

It is not an unprimeable number, because it can be changed into a prime (56004163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80703 + ... + 81393.

It is an arithmetic number, because the mean of its divisors is an integer number (2397780).

Almost surely, 256004168 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 56004168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76728960).

56004168 is an abundant number, since it is smaller than the sum of its proper divisors (97453752).

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

56004168 is a wasteful number, since it uses less digits than its factorization.

56004168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 56004168 is about 7483.5932545803. The cubic root of 56004168 is about 382.5957281013.

The spelling of 56004168 in words is "fifty-six million, four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 307 614 691 921 1228 1382 1842 2073 2456 2764 3377 3684 4146 5528 6754 7368 7601 8292 10131 13508 15202 16584 20262 22803 27016 30404 40524 45606 60808 81048 91212 182424 212137 424274 636411 848548 1272822 1697096 2333507 2545644 4667014 5091288 7000521 9334028 14001042 18668056 28002084 56004168