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55353728 = 274389113
BaseRepresentation
bin1101001100101…
…0000110000000
310212011021001002
43103022012000
5103132304403
65254231132
71241333063
oct323120600
9125137032
1055353728
1129278091
12166554a8
13b6111b1
1474cc8da
154cd6188
hex34ca180

55353728 has 64 divisors (see below), whose sum is σ = 115117200. Its totient is φ = 26492928.

The previous prime is 55353703. The next prime is 55353743. The reversal of 55353728 is 82735355.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 55353691 and 55353700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489800 + ... + 489912.

Almost surely, 255353728 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 55353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558600).

55353728 is an abundant number, since it is smaller than the sum of its proper divisors (59763472).

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

55353728 is a wasteful number, since it uses less digits than its factorization.

55353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its digits is 126000, while the sum is 38.

The square root of 55353728 is about 7440.0086021456. The cubic root of 55353728 is about 381.1087837472.

The spelling of 55353728 in words is "fifty-five million, three hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 89 113 128 172 178 226 344 356 452 688 712 904 1376 1424 1808 2752 2848 3616 3827 4859 5504 5696 7232 7654 9718 10057 11392 14464 15308 19436 20114 30616 38872 40228 61232 77744 80456 122464 155488 160912 244928 310976 321824 432451 489856 621952 643648 864902 1287296 1729804 3459608 6919216 13838432 27676864 55353728