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53927328 = 2537136173
BaseRepresentation
bin1100110110110…
…1110110100000
310202110210101110
43031231312200
5102301133303
65203503320
71223242350
oct315556640
9122423343
1053927328
1128493444
1216087b40
13b231b80
14723ab60
154b03703
hex336dda0

53927328 has 96 divisors (see below), whose sum is σ = 174254976. Its totient is φ = 14220288.

The previous prime is 53927317. The next prime is 53927351. The reversal of 53927328 is 82372935.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5650 + ... + 11822.

It is an arithmetic number, because the mean of its divisors is an integer number (1815156).

Almost surely, 253927328 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 53927328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87127488).

53927328 is an abundant number, since it is smaller than the sum of its proper divisors (120327648).

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

53927328 is a wasteful number, since it uses less digits than its factorization.

53927328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 6198 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 53927328 is about 7343.5228603171. The cubic root of 53927328 is about 377.8066814743.

It can be divided in two parts, 5392 and 7328, that added together give a triangular number (12720 = T159).

The spelling of 53927328 in words is "fifty-three million, nine hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 6173 8736 12346 18519 24692 37038 43211 49384 74076 80249 86422 98768 129633 148152 160498 172844 197536 240747 259266 296304 320996 345688 481494 518532 561743 592608 641992 691376 962988 1037064 1123486 1283984 1382752 1685229 1925976 2074128 2246972 2567968 3370458 3851952 4148256 4493944 6740916 7703904 8987888 13481832 17975776 26963664 53927328