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54257406 = 23721791031
BaseRepresentation
bin1100111011111…
…0011011111110
310210002120011120
43032332123332
5102342214111
65214531410
71226115600
oct316763376
9123076146
1054257406
1128699435
1216206b66
13b319198
1472c5170
154b6b406
hex33be6fe

54257406 has 48 divisors (see below), whose sum is σ = 127059840. Its totient is φ = 15400560.

The previous prime is 54257389. The next prime is 54257459. The reversal of 54257406 is 60475245.

It is a super-2 number, since 2×542574062 = 5887732211697672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52111 + ... + 53141.

It is an arithmetic number, because the mean of its divisors is an integer number (2647080).

Almost surely, 254257406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54257406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63529920).

54257406 is an abundant number, since it is smaller than the sum of its proper divisors (72802434).

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

54257406 is a wasteful number, since it uses less digits than its factorization.

54257406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 54257406 is about 7365.9626662100. The cubic root of 54257406 is about 378.5759395825.

The spelling of 54257406 in words is "fifty-four million, two hundred fifty-seven thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 179 294 358 537 1031 1074 1253 2062 2506 3093 3759 6186 7217 7518 8771 14434 17542 21651 26313 43302 50519 52626 101038 151557 184549 303114 369098 553647 1107294 1291843 2583686 3875529 7751058 9042901 18085802 27128703 54257406