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458112107 = 1727612083
BaseRepresentation
bin11011010011100…
…011110001101011
31011221000111200002
4123103203301223
51414234041412
6113242533215
714231613545
oct3323436153
91157014602
10458112107
11215657452
1210950720b
1373baa16b
1444bb0695
152a341dc2
hex1b4e3c6b

458112107 has 12 divisors (see below), whose sum is σ = 487518456. Its totient is φ = 430391040.

The previous prime is 458112089. The next prime is 458112143. The reversal of 458112107 is 701211854.

It is not a de Polignac number, because 458112107 - 28 = 458111851 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 458112107.

It is not an unprimeable number, because it can be changed into a prime (458112307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218888 + ... + 220970.

It is an arithmetic number, because the mean of its divisors is an integer number (40626538).

Almost surely, 2458112107 is an apocalyptic number.

458112107 is a deficient number, since it is larger than the sum of its proper divisors (29406349).

458112107 is a wasteful number, since it uses less digits than its factorization.

458112107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 458112107 is about 21403.5536068196. The cubic root of 458112107 is about 770.8867655181.

The spelling of 458112107 in words is "four hundred fifty-eight million, one hundred twelve thousand, one hundred seven".

Divisors: 1 17 289 761 2083 12937 35411 219929 601987 1585163 26947771 458112107