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53255664 = 24337111601
BaseRepresentation
bin1100101100100…
…1110111110000
310201012200001000
43023021313300
5102113140124
65141242000
71214444220
oct313116760
9121180030
1053255664
1128074850
1215a03300
13b058237
147104080
154a1e6c9
hex32c9df0

53255664 has 160 divisors (see below), whose sum is σ = 190702080. Its totient is φ = 13824000.

The previous prime is 53255641. The next prime is 53255677. The reversal of 53255664 is 46655235.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32464 + ... + 34064.

It is an arithmetic number, because the mean of its divisors is an integer number (1191888).

Almost surely, 253255664 is an apocalyptic number.

53255664 is a gapful number since it is divisible by the number (54) 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 53255664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95351040).

53255664 is an abundant number, since it is smaller than the sum of its proper divisors (137446416).

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

53255664 is a wasteful number, since it uses less digits than its factorization.

53255664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1624 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 53255664 is about 7297.6478402291. The cubic root of 53255664 is about 376.2315986777.

The spelling of 53255664 in words is "fifty-three million, two hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1601 1848 2079 2376 2772 3024 3202 3696 4158 4752 4803 5544 6404 8316 9606 11088 11207 12808 14409 16632 17611 19212 22414 25616 28818 33264 33621 35222 38424 43227 44828 52833 57636 67242 70444 76848 86454 89656 100863 105666 115272 123277 134484 140888 158499 172908 179312 201726 211332 230544 246554 268968 281776 302589 316998 345816 369831 403452 422664 475497 493108 537936 605178 633996 691632 739662 806904 845328 950994 986216 1109493 1210356 1267992 1479324 1613808 1901988 1972432 2218986 2420712 2535984 2958648 3328479 3803976 4437972 4841424 5917296 6656958 7607952 8875944 13313916 17751888 26627832 53255664