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58746313 = 5310910169
BaseRepresentation
bin1110000000011…
…0010111001001
311002112121210101
43200012113021
5110014340223
65455045401
71312223023
oct340062711
9132477711
1058746313
1130184a7a
1217810861
13c22b442
147b33013
1552564ad
hex38065c9

58746313 has 8 divisors (see below), whose sum is σ = 60409800. Its totient is φ = 57103488.

The previous prime is 58746293. The next prime is 58746349. The reversal of 58746313 is 31364785.

It can be written as a sum of positive squares in 4 ways, for example, as 34421689 + 24324624 = 5867^2 + 4932^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58746313 - 217 = 58615241 is a prime.

It is a super-2 number, since 2×587463132 = 6902258582187938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58746353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693 + ... + 10861.

It is an arithmetic number, because the mean of its divisors is an integer number (7551225).

Almost surely, 258746313 is an apocalyptic number.

58746313 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

58746313 is a deficient number, since it is larger than the sum of its proper divisors (1663487).

58746313 is a wasteful number, since it uses less digits than its factorization.

58746313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331.

The product of its digits is 60480, while the sum is 37.

The square root of 58746313 is about 7664.6143412438. The cubic root of 58746313 is about 388.7408723987.

The spelling of 58746313 in words is "fifty-eight million, seven hundred forty-six thousand, three hundred thirteen".

Divisors: 1 53 109 5777 10169 538957 1108421 58746313