Search a number
-
+
475513056 = 25326127067
BaseRepresentation
bin11100010101111…
…100000011100000
31020010202120021200
4130111330003200
51433212404211
6115103521200
714532536304
oct3425740340
91203676250
10475513056
11224461aa7
121132b9200
1377690595
144721dd04
152bb2cb56
hex1c57c0e0

475513056 has 72 divisors (see below), whose sum is σ = 1374458904. Its totient is φ = 155900160.

The previous prime is 475513033. The next prime is 475513067. The reversal of 475513056 is 650315574.

475513056 is a `hidden beast` number, since 475 + 5 + 130 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4755130562 = 452225332852918272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 475513056.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4035 + ... + 31101.

It is an arithmetic number, because the mean of its divisors is an integer number (19089707).

Almost surely, 2475513056 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 475513056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687229452).

475513056 is an abundant number, since it is smaller than the sum of its proper divisors (898945848).

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

475513056 is a wasteful number, since it uses less digits than its factorization.

475513056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27144 (or 27133 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 475513056 is about 21806.2618529632. The cubic root of 475513056 is about 780.5261932701.

The spelling of 475513056 in words is "four hundred seventy-five million, five hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 27067 54134 81201 108268 162402 216536 243603 324804 433072 487206 649608 866144 974412 1299216 1651087 1948824 2598432 3302174 3897648 4953261 6604348 7795296 9906522 13208696 14859783 19813044 26417392 29719566 39626088 52834784 59439132 79252176 118878264 158504352 237756528 475513056