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557746812 = 223273172657
BaseRepresentation
bin100001001111101…
…000101001111100
31102212111110210100
4201033220221330
52120240344222
6131202241100
716551525000
oct4117505174
91385443710
10557746812
11266919487
12136956190
138b7235cc
1454108700
1533e734ac
hex213e8a7c

557746812 has 144 divisors (see below), whose sum is σ = 1741521600. Its totient is φ = 149925888.

The previous prime is 557746811. The next prime is 557746837. The reversal of 557746812 is 218647755.

557746812 is a `hidden beast` number, since 5 + 577 + 4 + 68 + 12 = 666.

557746812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5577468122 = 622163012592326688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557746811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208588 + ... + 211244.

It is an arithmetic number, because the mean of its divisors is an integer number (12093900).

Almost surely, 2557746812 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 557746812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870760800).

557746812 is an abundant number, since it is smaller than the sum of its proper divisors (1183774788).

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

557746812 is a wasteful number, since it uses less digits than its factorization.

557746812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2686 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 557746812 is about 23616.6638626204. The cubic root of 557746812 is about 823.1500941563.

The spelling of 557746812 in words is "five hundred fifty-seven million, seven hundred forty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 343 357 441 476 588 612 686 714 833 882 1029 1071 1372 1428 1666 1764 2058 2142 2499 2657 3087 3332 4116 4284 4998 5314 5831 6174 7497 7971 9996 10628 11662 12348 14994 15942 17493 18599 23324 23913 29988 31884 34986 37198 45169 47826 52479 55797 69972 74396 90338 95652 104958 111594 130193 135507 167391 180676 209916 223188 260386 271014 316183 334782 390579 406521 520772 542028 632366 669564 781158 813042 911351 948549 1171737 1264732 1562316 1626084 1822702 1897098 2213281 2343474 2734053 2845647 3645404 3794196 4426562 4686948 5468106 5691294 6639843 8202159 8853124 10936212 11382588 13279686 15492967 16404318 19919529 26559372 30985934 32808636 39839058 46478901 61971868 79678116 92957802 139436703 185915604 278873406 557746812