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475255264 = 251117431847
BaseRepresentation
bin11100010100111…
…101000111100000
31020010021110122211
4130110331013200
51433131132024
6115054211504
714530413601
oct3424750740
91203243584
10475255264
112242a6350
121131b3b94
1377600143
1447193da8
152bacb594
hex1c53d1e0

475255264 has 96 divisors (see below), whose sum is σ = 1106493696. Its totient is φ = 198481920.

The previous prime is 475255259. The next prime is 475255267. The reversal of 475255264 is 462552574.

Its product of digits (336000) is a multiple of the sum of its prime divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475255267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256389 + ... + 258235.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 2475255264 is an apocalyptic number.

475255264 is a gapful number since it is divisible by the number (44) 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 475255264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553246848).

475255264 is an abundant number, since it is smaller than the sum of its proper divisors (631238432).

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

475255264 is a wasteful number, since it uses less digits than its factorization.

475255264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1920 counting only the distinct ones).

The product of its digits is 336000, while the sum is 40.

The square root of 475255264 is about 21800.3500889321. The cubic root of 475255264 is about 780.3851177319.

The spelling of 475255264 in words is "four hundred seventy-five million, two hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 43 44 68 86 88 136 172 176 187 272 344 352 374 473 544 688 731 748 946 1376 1462 1496 1847 1892 2924 2992 3694 3784 5848 5984 7388 7568 8041 11696 14776 15136 16082 20317 23392 29552 31399 32164 40634 59104 62798 64328 79421 81268 125596 128656 158842 162536 251192 257312 317684 325072 345389 502384 635368 650144 690778 873631 1004768 1270736 1350157 1381556 1747262 2541472 2700314 2763112 3494524 5400628 5526224 6989048 10801256 11052448 13978096 14851727 21602512 27956192 29703454 43205024 59406908 118813816 237627632 475255264