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474872832 = 21032717433
BaseRepresentation
bin11100010011011…
…111110000000000
31020002120001001200
4130103133300000
51433031412312
6115042101200
714524231620
oct3423376000
91202501050
10474872832
11224064a95
1211304a800
13774c8055
14470d4880
152ba530dc
hex1c4dfc00

474872832 has 264 divisors, whose sum is σ = 1663081056. Its totient is φ = 127401984.

The previous prime is 474872821. The next prime is 474872857. The reversal of 474872832 is 238278474.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 1096488 + ... + 1096920.

Almost surely, 2474872832 is an apocalyptic number.

474872832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831540528).

474872832 is an abundant number, since it is smaller than the sum of its proper divisors (1188208224).

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

474872832 is a wasteful number, since it uses less digits than its factorization.

474872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 462 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 474872832 is about 21791.5770884073. The cubic root of 474872832 is about 780.1757394944.

The spelling of 474872832 in words is "four hundred seventy-four million, eight hundred seventy-two thousand, eight hundred thirty-two".