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458372013 = 311131106031
BaseRepresentation
bin11011010100100…
…011001110101101
31011221111201012020
4123110203032231
51414320401023
6113252300353
714234045361
oct3324431655
91157451166
10458372013
11215814750
121096116b9
1373c6b558
1444c3b2a1
152a393de3
hex1b5233ad

458372013 has 16 divisors (see below), whose sum is σ = 671818752. Its totient is φ = 275678000.

The previous prime is 458372009. The next prime is 458372029. The reversal of 458372013 is 310273854.

It is a cyclic number.

It is not a de Polignac number, because 458372013 - 22 = 458372009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458372053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48693 + ... + 57338.

It is an arithmetic number, because the mean of its divisors is an integer number (41988672).

Almost surely, 2458372013 is an apocalyptic number.

It is an amenable number.

458372013 is a deficient number, since it is larger than the sum of its proper divisors (213446739).

458372013 is a wasteful number, since it uses less digits than its factorization.

458372013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106176.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 458372013 is about 21409.6243077734. The cubic root of 458372013 is about 771.0325233025.

The spelling of 458372013 in words is "four hundred fifty-eight million, three hundred seventy-two thousand, thirteen".

Divisors: 1 3 11 33 131 393 1441 4323 106031 318093 1166341 3499023 13890061 41670183 152790671 458372013