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54912768 = 283127563
BaseRepresentation
bin1101000101111…
…0011100000000
310211022212011020
43101132130000
5103024202033
65240545440
71234515351
oct321363400
9124285136
1054912768
1128aa6859
1216482280
13b4b8581
147415d28
154c4a6b3
hex345e700

54912768 has 72 divisors (see below), whose sum is σ = 147560448. Its totient is φ = 18127872.

The previous prime is 54912743. The next prime is 54912787. The reversal of 54912768 is 86721945.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 97255 + ... + 97817.

Almost surely, 254912768 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 54912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73780224).

54912768 is an abundant number, since it is smaller than the sum of its proper divisors (92647680).

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

54912768 is a wasteful number, since it uses less digits than its factorization.

54912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 695 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 54912768 is about 7410.3149730629. The cubic root of 54912768 is about 380.0940856596.

The spelling of 54912768 in words is "fifty-four million, nine hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 563 762 768 1016 1126 1524 1689 2032 2252 3048 3378 4064 4504 6096 6756 8128 9008 12192 13512 16256 18016 24384 27024 32512 36032 48768 54048 71501 72064 97536 108096 143002 144128 214503 216192 286004 429006 432384 572008 858012 1144016 1716024 2288032 3432048 4576064 6864096 9152128 13728192 18304256 27456384 54912768