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475992090 = 232574311753
BaseRepresentation
bin11100010111110…
…001000000011010
31020011122220101200
4130113301000122
51433323221330
6115122055030
714536603020
oct3427610032
91204586350
10475992090
112247599a2
121134aa476
13777ca632
1447306710
152bbc4a60
hex1c5f101a

475992090 has 96 divisors (see below), whose sum is σ = 1418466816. Its totient is φ = 108483840.

The previous prime is 475992067. The next prime is 475992103. The reversal of 475992090 is 90299574.

475992090 is a `hidden beast` number, since 475 + 9 + 92 + 0 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 270654 + ... + 272406.

It is an arithmetic number, because the mean of its divisors is an integer number (14775696).

Almost surely, 2475992090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475992090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709233408).

475992090 is an abundant number, since it is smaller than the sum of its proper divisors (942474726).

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

475992090 is a wasteful number, since it uses less digits than its factorization.

475992090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 475992090 is about 21817.2429513905. The cubic root of 475992090 is about 780.7882071758.

The spelling of 475992090 in words is "four hundred seventy-five million, nine hundred ninety-two thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 431 630 862 1293 1753 2155 2586 3017 3506 3879 4310 5259 6034 6465 7758 8765 9051 10518 12271 12930 15085 15777 17530 18102 19395 24542 26295 27153 30170 31554 36813 38790 45255 52590 54306 61355 73626 78885 90510 110439 122710 135765 157770 184065 220878 271530 368130 552195 755543 1104390 1511086 2266629 3777715 4533258 5288801 6799887 7555430 10577602 11333145 13599774 15866403 22666290 26444005 31732806 33999435 47599209 52888010 67998870 79332015 95198418 158664030 237996045 475992090