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54156816 = 2433717909
BaseRepresentation
bin1100111010010…
…1111000010000
310202220110012000
43032211320100
5102331004231
65212434000
71225216410
oct316457020
9122813160
1054156816
112862a8aa
1216178900
13b2b246c
14729a640
154b4b6e6
hex33a5e10

54156816 has 80 divisors (see below), whose sum is σ = 177667200. Its totient is φ = 15472512.

The previous prime is 54156799. The next prime is 54156827. The reversal of 54156816 is 61865145.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5931 + ... + 11978.

It is an arithmetic number, because the mean of its divisors is an integer number (2220840).

Almost surely, 254156816 is an apocalyptic number.

54156816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54156816 is an abundant number, since it is smaller than the sum of its proper divisors (123510384).

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

54156816 is a wasteful number, since it uses less digits than its factorization.

54156816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17933 (or 17921 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 54156816 is about 7359.1314704930. The cubic root of 54156816 is about 378.3418424388.

The spelling of 54156816 in words is "fifty-four million, one hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 17909 35818 53727 71636 107454 125363 143272 161181 214908 250726 286544 322362 376089 429816 483543 501452 644724 752178 859632 967086 1002904 1128267 1289448 1504356 1934172 2005808 2256534 2578896 3008712 3384801 3868344 4513068 6017424 6769602 7736688 9026136 13539204 18052272 27078408 54156816