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475970964 = 2237171492237
BaseRepresentation
bin11100010111101…
…011110110010100
31020011121211102020
4130113223312110
51433322032324
6115121413140
714536454310
oct3427536624
91204554366
10475970964
11224745037
1211349a1b0
13777c0b31
14472dcb40
152bbbd679
hex1c5ebd94

475970964 has 96 divisors (see below), whose sum is σ = 1353542400. Its totient is φ = 127076352.

The previous prime is 475970953. The next prime is 475970987. The reversal of 475970964 is 469079574.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211654 + ... + 213890.

It is an arithmetic number, because the mean of its divisors is an integer number (14099400).

Almost surely, 2475970964 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 475970964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676771200).

475970964 is an abundant number, since it is smaller than the sum of its proper divisors (877571436).

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

475970964 is a wasteful number, since it uses less digits than its factorization.

475970964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 475970964 is about 21816.7587876843. The cubic root of 475970964 is about 780.7766557403.

The spelling of 475970964 in words is "four hundred seventy-five million, nine hundred seventy thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 149 204 238 298 357 447 476 596 714 894 1043 1428 1788 2086 2237 2533 3129 4172 4474 5066 6258 6711 7599 8948 10132 12516 13422 15198 15659 17731 26844 30396 31318 35462 38029 46977 53193 62636 70924 76058 93954 106386 114087 152116 187908 212772 228174 266203 333313 456348 532406 666626 798609 999939 1064812 1333252 1597218 1999878 2333191 3194436 3999756 4666382 5666321 6999573 9332764 11332642 13999146 16998963 22665284 27998292 33997926 39664247 67995852 79328494 118992741 158656988 237985482 475970964