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54164992 = 297217127
BaseRepresentation
bin1100111010011…
…1111000000000
310202220212101211
43032213320000
5102331234432
65212535504
71225252300
oct316477000
9122825354
1054164992
1128635a62
1216181594
13b2b60bb
14729d600
154b4dd47
hex33a7e00

54164992 has 120 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 21676032.

The previous prime is 54164989. The next prime is 54165017. The reversal of 54164992 is 29946145.

It is a congruent number.

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, 426433 + ... + 426559.

Almost surely, 254164992 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 54164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

54164992 is an abundant number, since it is smaller than the sum of its proper divisors (80183552).

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

54164992 is a wasteful number, since it uses less digits than its factorization.

54164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 54164992 is about 7359.6869498641. The cubic root of 54164992 is about 378.3608807764.

The spelling of 54164992 in words is "fifty-four million, one hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 127 128 136 196 224 238 254 256 272 392 448 476 508 512 544 784 833 889 896 952 1016 1088 1568 1666 1778 1792 1904 2032 2159 2176 3136 3332 3556 3584 3808 4064 4318 4352 6223 6272 6664 7112 7616 8128 8636 8704 12446 12544 13328 14224 15113 15232 16256 17272 24892 25088 26656 28448 30226 30464 32512 34544 49784 53312 56896 60452 60928 65024 69088 99568 105791 106624 113792 120904 138176 199136 211582 213248 227584 241808 276352 398272 423164 426496 455168 483616 552704 796544 846328 967232 1105408 1593088 1692656 1934464 3186176 3385312 3868928 6770624 7737856 13541248 27082496 54164992