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54891432 = 23342329127
BaseRepresentation
bin1101000101100…
…1001110101000
310211021202220000
43101121032220
5103023011212
65240303000
71234366221
oct321311650
9124252800
1054891432
1128a91822
1216471a60
13b4ab94b
14740c248
154c441dc
hex34593a8

54891432 has 160 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 16765056.

The previous prime is 54891413. The next prime is 54891433. The reversal of 54891432 is 23419845.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54891433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432153 + ... + 432279.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 254891432 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 54891432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

54891432 is an abundant number, since it is smaller than the sum of its proper divisors (112378968).

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

54891432 is a wasteful number, since it uses less digits than its factorization.

54891432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 54891432 is about 7408.8752182771. The cubic root of 54891432 is about 380.0448515850.

The spelling of 54891432 in words is "fifty-four million, eight hundred ninety-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 81 87 92 108 116 127 138 162 174 184 207 216 232 254 261 276 324 348 381 414 508 522 552 621 648 667 696 762 783 828 1016 1044 1143 1242 1334 1524 1566 1656 1863 2001 2088 2286 2349 2484 2668 2921 3048 3132 3429 3683 3726 4002 4572 4698 4968 5336 5842 6003 6264 6858 7366 7452 8004 8763 9144 9396 10287 11049 11684 12006 13716 14732 14904 16008 17526 18009 18792 20574 22098 23368 24012 26289 27432 29464 33147 35052 36018 41148 44196 48024 52578 54027 66294 70104 72036 78867 82296 84709 88392 99441 105156 108054 132588 144072 157734 169418 198882 210312 216108 236601 254127 265176 298323 315468 338836 397764 432216 473202 508254 596646 630936 677672 762381 795528 946404 1016508 1193292 1524762 1892808 2033016 2287143 2386584 3049524 4574286 6099048 6861429 9148572 13722858 18297144 27445716 54891432