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53482728 = 233132329257
BaseRepresentation
bin1100110000000…
…1010011101000
310201122012111210
43030001103220
5102142421403
65150153120
71216411215
oct314012350
9121565453
1053482728
112820a402
1215ab27a0
13b1076b0
147162b0c
154a66b03
hex33014e8

53482728 has 128 divisors (see below), whose sum is σ = 156038400. Its totient is φ = 15138816.

The previous prime is 53482727. The next prime is 53482729. The reversal of 53482728 is 82728435.

It is an interprime number because it is at equal distance from previous prime (53482727) and next prime (53482729).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (53482727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207976 + ... + 208232.

It is an arithmetic number, because the mean of its divisors is an integer number (1219050).

Almost surely, 253482728 is an apocalyptic number.

53482728 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53482728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78019200).

53482728 is an abundant number, since it is smaller than the sum of its proper divisors (102555672).

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

53482728 is a wasteful number, since it uses less digits than its factorization.

53482728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 53482728 is about 7313.1886342416. The cubic root of 53482728 is about 376.7655483036.

The spelling of 53482728 in words is "fifty-three million, four hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 29 39 46 52 58 69 78 87 92 104 116 138 156 174 184 232 257 276 299 312 348 377 514 552 598 667 696 754 771 897 1028 1131 1196 1334 1508 1542 1794 2001 2056 2262 2392 2668 3016 3084 3341 3588 4002 4524 5336 5911 6168 6682 7176 7453 8004 8671 9048 10023 11822 13364 14906 16008 17342 17733 20046 22359 23644 26013 26728 29812 34684 35466 40092 44718 47288 52026 59624 69368 70932 76843 80184 89436 96889 104052 141864 153686 171419 178872 193778 208104 230529 290667 307372 342838 387556 461058 514257 581334 614744 685676 775112 922116 1028514 1162668 1371352 1844232 2057028 2228447 2325336 4114056 4456894 6685341 8913788 13370682 17827576 26741364 53482728