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475412544 = 26332953179
BaseRepresentation
bin11100010101100…
…011100001000000
31020010120110102000
4130111203201000
51433201200134
6115101424000
714531640255
oct3425434100
91203513360
10475412544
112243a3532
1211326b000
13776568c9
14471d542c
152bb0ce99
hex1c563840

475412544 has 224 divisors, whose sum is σ = 1481328000. Its totient is φ = 149280768.

The previous prime is 475412543. The next prime is 475412551. The reversal of 475412544 is 445214574.

475412544 is a `hidden beast` number, since 4 + 75 + 41 + 2 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 475412499 and 475412508.

It is not an unprimeable number, because it can be changed into a prime (475412543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655847 + ... + 2656025.

Almost surely, 2475412544 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 475412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740664000).

475412544 is an abundant number, since it is smaller than the sum of its proper divisors (1005915456).

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

475412544 is a wasteful number, since it uses less digits than its factorization.

475412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 475412544 is about 21803.9570720546. The cubic root of 475412544 is about 780.4711945860.

The spelling of 475412544 in words is "four hundred seventy-five million, four hundred twelve thousand, five hundred forty-four".