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54288256 = 271138557
BaseRepresentation
bin1100111100010…
…1111110000000
310210011010111011
43033011332000
5102344211011
65215330304
71226304541
oct317057600
9123133434
1054288256
112870a630
1216220994
13b32a239
1472d24c8
154b75621
hex33c5f80

54288256 has 32 divisors (see below), whose sum is σ = 117987480. Its totient is φ = 24675840.

The previous prime is 54288253. The next prime is 54288277. The reversal of 54288256 is 65288245.

54288256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54288253) 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 3 ways as a sum of consecutive naturals, for example, 17871 + ... + 20686.

Almost surely, 254288256 is an apocalyptic number.

It is an amenable number.

54288256 is an abundant number, since it is smaller than the sum of its proper divisors (63699224).

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

54288256 is a wasteful number, since it uses less digits than its factorization.

54288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38582 (or 38570 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

The square root of 54288256 is about 7368.0564601528. The cubic root of 54288256 is about 378.6476769776.

The spelling of 54288256 in words is "fifty-four million, two hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 38557 77114 154228 308456 424127 616912 848254 1233824 1696508 2467648 3393016 4935296 6786032 13572064 27144128 54288256