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58538142 = 23213972579
BaseRepresentation
bin1101111101001…
…1100010011110
311002011001020100
43133103202132
5104441210032
65450401530
71310365065
oct337234236
9132131210
1058538142
1130052633
12177302a6
13c187770
147abb1dc
15521497c
hex37d389e

58538142 has 48 divisors (see below), whose sum is σ = 138050640. Its totient is φ = 17819136.

The previous prime is 58538141. The next prime is 58538143. The reversal of 58538142 is 24183585.

It is a happy number.

58538142 is a `hidden beast` number, since 585 + 38 + 1 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (58538141) and next prime (58538143).

It is a junction number, because it is equal to n+sod(n) for n = 58538097 and 58538106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58538141) 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, 21409 + ... + 23987.

It is an arithmetic number, because the mean of its divisors is an integer number (2876055).

Almost surely, 258538142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58538142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69025320).

58538142 is an abundant number, since it is smaller than the sum of its proper divisors (79512498).

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

58538142 is a wasteful number, since it uses less digits than its factorization.

58538142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2694 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 58538142 is about 7651.0222846362. The cubic root of 58538142 is about 388.2811536088.

The spelling of 58538142 in words is "fifty-eight million, five hundred thirty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2522 2579 3783 5158 7566 7737 11349 15474 22698 23211 33527 46422 67054 100581 201162 250163 301743 500326 603486 750489 1500978 2251467 3252119 4502934 6504238 9756357 19512714 29269071 58538142