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479007 = 33113157
BaseRepresentation
bin1110100111100011111
3220100002000
41310330133
5110312012
614133343
74033344
oct1647437
9810060
10479007
112a7981
121b1253
1313a049
14c67cb
1596ddc
hex74f1f

479007 has 16 divisors (see below), whose sum is σ = 720480. Its totient is φ = 314496.

The previous prime is 478999. The next prime is 479023. The reversal of 479007 is 700974.

It is not a de Polignac number, because 479007 - 23 = 478999 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 479007.

It is not an unprimeable number, because it can be changed into a prime (479027) 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 15 ways as a sum of consecutive naturals, for example, 2973 + ... + 3129.

It is an arithmetic number, because the mean of its divisors is an integer number (45030).

2479007 is an apocalyptic number.

479007 is a deficient number, since it is larger than the sum of its proper divisors (241473).

479007 is a wasteful number, since it uses less digits than its factorization.

479007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 479007 is about 692.1033159869. The cubic root of 479007 is about 78.2433229986.

The spelling of 479007 in words is "four hundred seventy-nine thousand, seven".

Divisors: 1 3 9 27 113 157 339 471 1017 1413 3051 4239 17741 53223 159669 479007