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55463265 = 3351113317
BaseRepresentation
bin1101001110010…
…0110101100001
310212100211022000
43103210311201
5103144311030
65300434213
71242300324
oct323446541
9125324260
1055463265
1129342410
12166a8969
13b64c000
14751a7bb
154d08860
hex34e4d61

55463265 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 23362560.

The previous prime is 55463257. The next prime is 55463269. The reversal of 55463265 is 56236455.

It is a happy number.

55463265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55463265 - 23 = 55463257 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55463269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3262537 + ... + 3262553.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 255463265 is an apocalyptic number.

55463265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55463265 is an abundant number, since it is smaller than the sum of its proper divisors (67915935).

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

55463265 is a wasteful number, since it uses less digits than its factorization.

55463265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

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

The square root of 55463265 is about 7447.3663129995. The cubic root of 55463265 is about 381.3600044477.

The spelling of 55463265 in words is "fifty-five million, four hundred sixty-three thousand, two hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 17 27 33 39 45 51 55 65 85 99 117 135 143 153 165 169 187 195 221 255 297 351 429 459 495 507 561 585 663 715 765 845 935 1105 1287 1485 1521 1683 1755 1859 1989 2145 2197 2295 2431 2535 2805 2873 3315 3861 4563 5049 5577 5967 6435 6591 7293 7605 8415 8619 9295 9945 10985 12155 14365 16731 19305 19773 21879 22815 24167 25245 25857 27885 29835 31603 32955 36465 37349 43095 50193 59319 65637 72501 77571 83655 94809 98865 109395 112047 120835 129285 158015 186745 217503 250965 284427 296595 328185 336141 362505 387855 410839 474045 560235 652509 853281 1008423 1087515 1232517 1422135 1680705 2054195 3262545 3697551 4266405 5042115 6162585 11092653 18487755 55463265