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54198912 = 2732931157
BaseRepresentation
bin1100111011000…
…0001010000000
310202222120221010
43032300022000
5102333331122
65213400520
71225453215
oct316601200
9122876833
1054198912
1128659499
1216199140
13b2c8681
1472abb0c
154b58e0c
hex33b0280

54198912 has 128 divisors (see below), whose sum is σ = 154713600. Its totient is φ = 16773120.

The previous prime is 54198889. The next prime is 54198961. The reversal of 54198912 is 21989145.

It is a tau number, because it is divible by the number of its divisors (128).

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, 345138 + ... + 345294.

It is an arithmetic number, because the mean of its divisors is an integer number (1208700).

Almost surely, 254198912 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 54198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77356800).

54198912 is an abundant number, since it is smaller than the sum of its proper divisors (100514688).

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

54198912 is a wasteful number, since it uses less digits than its factorization.

54198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The square root of 54198912 is about 7361.9910350394. The cubic root of 54198912 is about 378.4398452053.

The spelling of 54198912 in words is "fifty-four million, one hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 157 174 186 192 232 248 314 348 372 384 464 471 496 628 696 744 899 928 942 992 1256 1392 1488 1798 1856 1884 1984 2512 2697 2784 2976 3596 3712 3768 3968 4553 4867 5024 5394 5568 5952 7192 7536 9106 9734 10048 10788 11136 11904 13659 14384 14601 15072 18212 19468 20096 21576 27318 28768 29202 30144 36424 38936 43152 54636 57536 58404 60288 72848 77872 86304 109272 115072 116808 141143 145696 155744 172608 218544 233616 282286 291392 311488 345216 423429 437088 467232 564572 582784 622976 846858 874176 934464 1129144 1693716 1748352 1868928 2258288 3387432 4516576 6774864 9033152 13549728 18066304 27099456 54198912