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54914256 = 24321920071
BaseRepresentation
bin1101000101111…
…0110011010000
310211022221012100
43101132303100
5103024224011
65241000400
71234522605
oct321366320
9124287170
1054914256
1128aa7991
1216483100
13b4b9157
1474166ac
154c4ad56
hex345ecd0

54914256 has 60 divisors (see below), whose sum is σ = 161780320. Its totient is φ = 17340480.

The previous prime is 54914207. The next prime is 54914257. The reversal of 54914256 is 65241945.

54914256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 54914256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54914257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7300 + ... + 12771.

Almost surely, 254914256 is an apocalyptic number.

It is an amenable number.

54914256 is an abundant number, since it is smaller than the sum of its proper divisors (106866064).

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

54914256 is a wasteful number, since it uses less digits than its factorization.

54914256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20104 (or 20095 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 54914256 is about 7410.4153729734. The cubic root of 54914256 is about 380.0975188314.

The spelling of 54914256 in words is "fifty-four million, nine hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 20071 40142 60213 80284 120426 160568 180639 240852 321136 361278 381349 481704 722556 762698 963408 1144047 1445112 1525396 2288094 2890224 3050792 3432141 4576188 6101584 6864282 9152376 13728564 18304752 27457128 54914256