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479113740 = 2232573743239
BaseRepresentation
bin11100100011101…
…011001000001100
31020101112111111100
4130203223020030
51440123114430
6115313023100
714605254030
oct3443531014
91211474440
10479113740
112264a1276
12114554a90
1378351471
14478ba1c0
152c0de960
hex1c8eb20c

479113740 has 288 divisors, whose sum is σ = 1752791040. Its totient is φ = 103638528.

The previous prime is 479113721. The next prime is 479113753. The reversal of 479113740 is 47311974.

479113740 is a `hidden beast` number, since 479 + 113 + 74 + 0 = 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 = 479113695 and 479113704.

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 95 ways as a sum of consecutive naturals, for example, 2004541 + ... + 2004779.

It is an arithmetic number, because the mean of its divisors is an integer number (6086080).

Almost surely, 2479113740 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 479113740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876395520).

479113740 is an abundant number, since it is smaller than the sum of its proper divisors (1273677300).

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

479113740 is a wasteful number, since it uses less digits than its factorization.

479113740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 479113740 is about 21888.6669306287. Note that the first 3 decimals coincide. The cubic root of 479113740 is about 782.4913437647.

The spelling of 479113740 in words is "four hundred seventy-nine million, one hundred thirteen thousand, seven hundred forty".