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54056900 = 225219231237
BaseRepresentation
bin1100111000110…
…1011111000100
310202201101010102
43032031133010
5102314310100
65210343232
71224322202
oct316153704
9122641112
1054056900
1128571827
121612ab18
13b278b41
147272072
154b2bcd5
hex338d7c4

54056900 has 72 divisors (see below), whose sum is σ = 128950080. Its totient is φ = 19578240.

The previous prime is 54056887. The next prime is 54056929. The reversal of 54056900 is 965045.

It is a super-2 number, since 2×540569002 = 5844296875220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43082 + ... + 44318.

Almost surely, 254056900 is an apocalyptic number.

54056900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54056900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64475040).

54056900 is an abundant number, since it is smaller than the sum of its proper divisors (74893180).

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

54056900 is a wasteful number, since it uses less digits than its factorization.

54056900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 54056900 is about 7352.3397636399. The cubic root of 54056900 is about 378.1090267141.

The spelling of 54056900 in words is "fifty-four million, fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1237 1748 1900 2185 2300 2474 4370 4948 6185 8740 10925 12370 21850 23503 24740 28451 30925 43700 47006 56902 61850 94012 113804 117515 123700 142255 235030 284510 470060 540569 569020 587575 711275 1081138 1175150 1422550 2162276 2350300 2702845 2845100 5405690 10811380 13514225 27028450 54056900