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54654912 = 263413811
BaseRepresentation
bin1101000001111…
…1011111000000
310210211202110000
43100133133000
5102442424122
65231240000
71232362524
oct320373700
9123752400
1054654912
1128940054
1216379000
13b4280b0
147389d84
154be90ac
hex341f7c0

54654912 has 140 divisors (see below), whose sum is σ = 174692056. Its totient is φ = 16796160.

The previous prime is 54654911. The next prime is 54654931. The reversal of 54654912 is 21945645.

54654912 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (54654911) 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 19 ways as a sum of consecutive naturals, for example, 66987 + ... + 67797.

Almost surely, 254654912 is an apocalyptic number.

54654912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54654912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87346028).

54654912 is an abundant number, since it is smaller than the sum of its proper divisors (120037144).

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

54654912 is a wasteful number, since it uses less digits than its factorization.

54654912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 829 counting only the distinct ones).

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

The square root of 54654912 is about 7392.8960495871. The cubic root of 54654912 is about 379.4982111806.

The spelling of 54654912 in words is "fifty-four million, six hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 811 832 864 936 1053 1248 1296 1404 1622 1728 1872 2106 2433 2496 2592 2808 3244 3744 4212 4866 5184 5616 6488 7299 7488 8424 9732 10543 11232 12976 14598 16848 19464 21086 21897 22464 25952 29196 31629 33696 38928 42172 43794 51904 58392 63258 65691 67392 77856 84344 87588 94887 116784 126516 131382 155712 168688 175176 189774 233568 253032 262764 284661 337376 350352 379548 467136 506064 525528 569322 674752 700704 759096 853983 1012128 1051056 1138644 1401408 1518192 1707966 2024256 2102112 2277288 3036384 3415932 4204224 4554576 6072768 6831864 9109152 13663728 18218304 27327456 54654912