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58314126 = 23132131439
BaseRepresentation
bin1101111001110…
…0110110001110
311001201122221110
43132130312032
5104412023001
65441512450
71305443013
oct336346616
9131648843
1058314126
112aa0a2a2
1217642726
13c109800
147a5d70a
1551bd3d6
hex379cd8e

58314126 has 48 divisors (see below), whose sum is σ = 127543680. Its totient is φ = 17765280.

The previous prime is 58314121. The next prime is 58314127. The reversal of 58314126 is 62141385.

It is a super-2 number, since 2×583141262 = 6801074582287752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58314093 and 58314102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58314121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132615 + ... + 133053.

It is an arithmetic number, because the mean of its divisors is an integer number (2657160).

Almost surely, 258314126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58314126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63771840).

58314126 is an abundant number, since it is smaller than the sum of its proper divisors (69229554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58314126 is a wasteful number, since it uses less digits than its factorization.

58314126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 58314126 is about 7636.3686396088. The cubic root of 58314126 is about 387.7852240676.

The spelling of 58314126 in words is "fifty-eight million, three hundred fourteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 131 169 262 338 393 439 507 786 878 1014 1317 1703 2634 3406 5109 5707 10218 11414 17121 22139 34242 44278 57509 66417 74191 115018 132834 148382 172527 222573 345054 445146 747617 1495234 2242851 4485702 9719021 19438042 29157063 58314126