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54225756 = 2232131091063
BaseRepresentation
bin1100111011011…
…0101101011100
310210000221202100
43032312231130
5102340211011
65214125100
71225624404
oct316665534
9123027670
1054225756
1128677682
12161b0790
13b307960
1472b7804
154b61d56
hex33b6b5c

54225756 has 72 divisors (see below), whose sum is σ = 149108960. Its totient is φ = 16516224.

The previous prime is 54225749. The next prime is 54225799. The reversal of 54225756 is 65752245.

54225756 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×542257562 = 5880865227543072, which contains 22 as substring.

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 54225756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50481 + ... + 51543.

Almost surely, 254225756 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 54225756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74554480).

54225756 is an abundant number, since it is smaller than the sum of its proper divisors (94883204).

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

54225756 is a wasteful number, since it uses less digits than its factorization.

54225756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1190 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 54225756 is about 7363.8139574544. The cubic root of 54225756 is about 378.5023136333.

The spelling of 54225756 in words is "fifty-four million, two hundred twenty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 218 234 327 436 468 654 981 1063 1308 1417 1962 2126 2834 3189 3924 4251 4252 5668 6378 8502 9567 12753 12756 13819 17004 19134 25506 27638 38268 41457 51012 55276 82914 115867 124371 165828 231734 248742 347601 463468 497484 695202 1042803 1390404 1506271 2085606 3012542 4171212 4518813 6025084 9037626 13556439 18075252 27112878 54225756