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58142337 = 31119471973
BaseRepresentation
bin1101110111001…
…0111010000001
311001101221021220
43131302322001
5104341023322
65434105253
71304126121
oct335627201
9131357256
1058142337
112a902220
121757b229
13c079566
147a16c81
15518755c
hex3772e81

58142337 has 32 divisors (see below), whose sum is σ = 90961920. Its totient is φ = 32656320.

The previous prime is 58142327. The next prime is 58142339. The reversal of 58142337 is 73324185.

It is not a de Polignac number, because 58142337 - 27 = 58142209 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 58142298 and 58142307.

It is not an unprimeable number, because it can be changed into a prime (58142339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28483 + ... + 30455.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 258142337 is an apocalyptic number.

58142337 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

58142337 is a deficient number, since it is larger than the sum of its proper divisors (32819583).

58142337 is a wasteful number, since it uses less digits than its factorization.

58142337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053.

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

The square root of 58142337 is about 7625.1122614687. The cubic root of 58142337 is about 387.4040542199.

The spelling of 58142337 in words is "fifty-eight million, one hundred forty-two thousand, three hundred thirty-seven".

Divisors: 1 3 11 19 33 47 57 141 209 517 627 893 1551 1973 2679 5919 9823 21703 29469 37487 65109 92731 112461 278193 412357 1020041 1237071 1761889 3060123 5285667 19380779 58142337