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54139536 = 24331111393
BaseRepresentation
bin1100111010000…
…1101010010000
310202212120111000
43032201222100
5102324431121
65212222000
71225115133
oct316415220
9122776430
1054139536
1128618920
121616a900
13b2a7639
14729421a
154b46526
hex33a1a90

54139536 has 80 divisors (see below), whose sum is σ = 169542720. Its totient is φ = 16404480.

The previous prime is 54139529. The next prime is 54139571. The reversal of 54139536 is 63593145.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54139536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945 + ... + 10448.

It is an arithmetic number, because the mean of its divisors is an integer number (2119284).

Almost surely, 254139536 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 54139536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84771360).

54139536 is an abundant number, since it is smaller than the sum of its proper divisors (115403184).

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

54139536 is a wasteful number, since it uses less digits than its factorization.

54139536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11421 (or 11409 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 54139536 is about 7357.9573252364. The cubic root of 54139536 is about 378.3015985508.

The spelling of 54139536 in words is "fifty-four million, one hundred thirty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 11393 22786 34179 45572 68358 91144 102537 125323 136716 182288 205074 250646 273432 307611 375969 410148 501292 546864 615222 751938 820296 1002584 1127907 1230444 1503876 1640592 2005168 2255814 2460888 3007752 3383721 4511628 4921776 6015504 6767442 9023256 13534884 18046512 27069768 54139536