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475505838 = 232318310267
BaseRepresentation
bin11100010101111…
…010010010101110
31020010202012101100
4130111322102232
51433212141323
6115103423530
714532506253
oct3425722256
91203665340
10475505838
11224457635
121132b4ba6
137768a202
144721b42a
152bb2a943
hex1c57a4ae

475505838 has 48 divisors (see below), whose sum is σ = 1076414976. Its totient is φ = 151526160.

The previous prime is 475505831. The next prime is 475505843. The reversal of 475505838 is 838505574.

475505838 is a `hidden beast` number, since 47 + 550 + 58 + 3 + 8 = 666.

It is a super-2 number, since 2×4755058382 = 452211603944164488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 475505793 and 475505802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475505831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41181 + ... + 51447.

It is an arithmetic number, because the mean of its divisors is an integer number (22425312).

Almost surely, 2475505838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475505838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538207488).

475505838 is an abundant number, since it is smaller than the sum of its proper divisors (600909138).

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

475505838 is a wasteful number, since it uses less digits than its factorization.

475505838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 475505838 is about 21806.0963494157. The cubic root of 475505838 is about 780.5222439453.

The spelling of 475505838 in words is "four hundred seventy-five million, five hundred five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 83 93 166 186 249 279 498 558 747 1494 2573 5146 7719 10267 15438 20534 23157 30801 46314 61602 92403 184806 318277 636554 852161 954831 1704322 1909662 2556483 2864493 5112966 5728986 7669449 15338898 26416991 52833982 79250973 158501946 237752919 475505838