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475957890 = 23352836229
BaseRepresentation
bin11100010111101…
…000101010000010
31020011121011111000
4130113220222002
51433321123030
6115121232430
714536401222
oct3427505202
91204534430
10475957890
11224736231
12113492716
13777b7bb5
14472d8082
152bbb9860
hex1c5e8a82

475957890 has 64 divisors (see below), whose sum is σ = 1273910400. Its totient is φ = 126453312.

The previous prime is 475957877. The next prime is 475957901. The reversal of 475957890 is 98759574.

475957890 is a `hidden beast` number, since 47 + 595 + 7 + 8 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73296 + ... + 79524.

It is an arithmetic number, because the mean of its divisors is an integer number (19904850).

Almost surely, 2475957890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475957890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636955200).

475957890 is an abundant number, since it is smaller than the sum of its proper divisors (797952510).

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

475957890 is a wasteful number, since it uses less digits than its factorization.

475957890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 475957890 is about 21816.4591535840. The cubic root of 475957890 is about 780.7695068676.

The spelling of 475957890 in words is "four hundred seventy-five million, nine hundred fifty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 283 566 849 1415 1698 2547 2830 4245 5094 6229 7641 8490 12458 12735 15282 18687 25470 31145 37374 38205 56061 62290 76410 93435 112122 168183 186870 280305 336366 560610 840915 1681830 1762807 3525614 5288421 8814035 10576842 15865263 17628070 26442105 31730526 47595789 52884210 79326315 95191578 158652630 237978945 475957890