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54061056 = 211327419
BaseRepresentation
bin1100111000111…
…0100000000000
310202201120211100
43032032200000
5102314423211
65210414400
71224340260
oct316164000
9122646740
1054061056
1128574965
1216131400
13b27a9ba
1472737a0
154b2d156
hex338e800

54061056 has 144 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 15409152.

The previous prime is 54061013. The next prime is 54061097. The reversal of 54061056 is 65016045.

It is a happy number.

54061056 is a `hidden beast` number, since 5 + 40 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128815 + ... + 129233.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 254061056 is an apocalyptic number.

54061056 is a gapful number since it is divisible by the number (56) 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 54061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

54061056 is an abundant number, since it is smaller than the sum of its proper divisors (124808544).

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

54061056 is a wasteful number, since it uses less digits than its factorization.

54061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 54061056 is about 7352.6223893248. The cubic root of 54061056 is about 378.1187163858.

The spelling of 54061056 in words is "fifty-four million, sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 419 448 504 512 576 672 768 838 896 1008 1024 1152 1257 1344 1536 1676 1792 2016 2048 2304 2514 2688 2933 3072 3352 3584 3771 4032 4608 5028 5376 5866 6144 6704 7168 7542 8064 8799 9216 10056 10752 11732 13408 14336 15084 16128 17598 18432 20112 21504 23464 26397 26816 30168 32256 35196 40224 43008 46928 52794 53632 60336 64512 70392 80448 93856 105588 107264 120672 129024 140784 160896 187712 211176 214528 241344 281568 321792 375424 422352 429056 482688 563136 643584 750848 844704 858112 965376 1126272 1287168 1501696 1689408 1930752 2252544 2574336 3003392 3378816 3861504 4505088 6006784 6757632 7723008 9010176 13515264 18020352 27030528 54061056