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58926368 = 25232592
BaseRepresentation
bin1110000011001…
…0010100100000
311002212202210002
43200302110200
5110041120433
65502555132
71313602664
oct340622440
9132782702
1058926368
1130298286
1217898aa8
13c292397
147b7c8a4
15528e9e8
hex3832520

58926368 has 54 divisors (see below), whose sum is σ = 123364899. Its totient is φ = 27704512.

The previous prime is 58926359. The next prime is 58926377. The reversal of 58926368 is 86362985.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (58926359) and next prime (58926377).

It can be written as a sum of positive squares in only one way, i.e., 29463184 + 29463184 = 5428^2 + 5428^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5428.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 998723 + ... + 998781.

Almost surely, 258926368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58926368

58926368 is an abundant number, since it is smaller than the sum of its proper divisors (64438531).

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

58926368 is an equidigital number, since it uses as much as digits as its factorization.

58926368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 84 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 58926368 is about 7676.3512165612. The cubic root of 58926368 is about 389.1376255190.

The spelling of 58926368 in words is "fifty-eight million, nine hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 368 472 529 736 944 1058 1357 1888 2116 2714 3481 4232 5428 6962 8464 10856 13924 16928 21712 27848 31211 43424 55696 62422 80063 111392 124844 160126 249688 320252 499376 640504 998752 1281008 1841449 2562016 3682898 7365796 14731592 29463184 58926368