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54053472 = 25311173011
BaseRepresentation
bin1100111000110…
…0101001100000
310202201012102110
43032030221200
5102314202342
65210315320
71224306204
oct316145140
9122635373
1054053472
112856a1a0
1216128b40
13b277405
147270b04
154b2ac9c
hex338ca60

54053472 has 96 divisors (see below), whose sum is σ = 163949184. Its totient is φ = 15411200.

The previous prime is 54053449. The next prime is 54053497. The reversal of 54053472 is 27435045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16447 + ... + 19457.

It is an arithmetic number, because the mean of its divisors is an integer number (1707804).

Almost surely, 254053472 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 54053472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81974592).

54053472 is an abundant number, since it is smaller than the sum of its proper divisors (109895712).

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

54053472 is a wasteful number, since it uses less digits than its factorization.

54053472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 54053472 is about 7352.1066368763. The cubic root of 54053472 is about 378.1010339932.

The spelling of 54053472 in words is "fifty-four million, fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 3011 4488 5984 6022 8976 9033 12044 17952 18066 24088 33121 36132 48176 51187 66242 72264 96352 99363 102374 132484 144528 153561 198726 204748 264968 289056 307122 397452 409496 529936 563057 614244 794904 818992 1059872 1126114 1228488 1589808 1637984 1689171 2252228 2456976 3179616 3378342 4504456 4913952 6756684 9008912 13513368 18017824 27026736 54053472