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404920607 = 71313133967
BaseRepresentation
bin11000001000101…
…001100100011111
31001012221002122112
4120020221210133
51312124424412
6104102504235
713014524360
oct3010514437
91035832575
10404920607
11198626933
12b373507b
1365b751c0
143bac5b67
1525836722
hex1822991f

404920607 has 16 divisors (see below), whose sum is σ = 502182912. Its totient is φ = 317921760.

The previous prime is 404920601. The next prime is 404920627. The reversal of 404920607 is 706029404.

It is not a de Polignac number, because 404920607 - 214 = 404904223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404920601) 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, 5063 + ... + 28904.

It is an arithmetic number, because the mean of its divisors is an integer number (31386432).

Almost surely, 2404920607 is an apocalyptic number.

404920607 is a deficient number, since it is larger than the sum of its proper divisors (97262305).

404920607 is a wasteful number, since it uses less digits than its factorization.

404920607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34118.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 404920607 is about 20122.6391658748. The cubic root of 404920607 is about 739.8152734668.

The spelling of 404920607 in words is "four hundred four million, nine hundred twenty thousand, six hundred seven".

Divisors: 1 7 13 91 131 917 1703 11921 33967 237769 441571 3090997 4449677 31147739 57845801 404920607