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479708352 = 2633192769
BaseRepresentation
bin11100100101111…
…100010011000000
31020102122201011000
4130211330103000
51440301131402
6115333452000
714613311424
oct3445742300
91212581130
10479708352
11226867a92
121147a1000
13784cbcc6
14479d2b84
152c1aac1c
hex1c97c4c0

479708352 has 168 divisors, whose sum is σ = 1490319600. Its totient is φ = 151289856.

The previous prime is 479708267. The next prime is 479708357. The reversal of 479708352 is 253807974.

It is a junction number, because it is equal to n+sod(n) for n = 479708298 and 479708307.

It is not an unprimeable number, because it can be changed into a prime (479708357) by changing a digit.

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, 623424 + ... + 624192.

It is an arithmetic number, because the mean of its divisors is an integer number (8870950).

Almost surely, 2479708352 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 479708352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745159800).

479708352 is an abundant number, since it is smaller than the sum of its proper divisors (1010611248).

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

479708352 is a wasteful number, since it uses less digits than its factorization.

479708352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 479708352 is about 21902.2453643456. The cubic root of 479708352 is about 782.8149178670.

The spelling of 479708352 in words is "four hundred seventy-nine million, seven hundred eight thousand, three hundred fifty-two".