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54868992 = 210353337
BaseRepresentation
bin1101000101001…
…1110000000000
310211020122002220
43101103300000
5103021301432
65240011040
71234243623
oct321236000
9124218086
1054868992
1128a76982
1216460a80
13b4a1679
147403dba
154c3c72c
hex3453c00

54868992 has 88 divisors (see below), whose sum is σ = 149447376. Its totient is φ = 17891328.

The previous prime is 54868987. The next prime is 54868993. The reversal of 54868992 is 29986845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54868993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162648 + ... + 162984.

Almost surely, 254868992 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 54868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74723688).

54868992 is an abundant number, since it is smaller than the sum of its proper divisors (94578384).

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

54868992 is a wasteful number, since it uses less digits than its factorization.

54868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 54868992 is about 7407.3606635562. The cubic root of 54868992 is about 379.9930561981.

The spelling of 54868992 in words is "fifty-four million, eight hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 337 384 424 512 636 674 768 848 1011 1024 1272 1348 1536 1696 2022 2544 2696 3072 3392 4044 5088 5392 6784 8088 10176 10784 13568 16176 17861 20352 21568 27136 32352 35722 40704 43136 53583 54272 64704 71444 81408 86272 107166 129408 142888 162816 172544 214332 258816 285776 345088 428664 517632 571552 857328 1035264 1143104 1714656 2286208 3429312 4572416 6858624 9144832 13717248 18289664 27434496 54868992