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54626368 = 2619167269
BaseRepresentation
bin1101000001100…
…0100001000000
310210210022021211
43100120201000
5102441020433
65230455504
71232213356
oct320304100
9123708254
1054626368
1128920665
1216364594
13b4180c4
14737d7d6
154be08cd
hex3418840

54626368 has 56 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 25625088.

The previous prime is 54626317. The next prime is 54626381. The reversal of 54626368 is 86362645.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54626368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202938 + ... + 203206.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 254626368 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 54626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

54626368 is an abundant number, since it is smaller than the sum of its proper divisors (60588032).

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

54626368 is a wasteful number, since it uses less digits than its factorization.

54626368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 54626368 is about 7390.9652955483. The cubic root of 54626368 is about 379.4321342697.

The spelling of 54626368 in words is "fifty-four million, six hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 167 269 304 334 538 608 668 1076 1216 1336 2152 2672 3173 4304 5111 5344 6346 8608 10222 10688 12692 17216 20444 25384 40888 44923 50768 81776 89846 101536 163552 179692 203072 327104 359384 718768 853537 1437536 1707074 2875072 3414148 6828296 13656592 27313184 54626368