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58092372 = 2232131011229
BaseRepresentation
bin1101110110011…
…0101101010100
311001022101202100
43131212231110
5104332423442
65433042100
71303530342
oct335465524
9131271670
1058092372
112a878728
1217556330
13c05c8b0
147a02992
15517784c
hex3766b54

58092372 has 72 divisors (see below), whose sum is σ = 159836040. Its totient is φ = 17683200.

The previous prime is 58092371. The next prime is 58092379. The reversal of 58092372 is 27329085.

It is a happy number.

58092372 is a `hidden beast` number, since 580 + 9 + 2 + 3 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31404816 + 26687556 = 5604^2 + 5166^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58092371) 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, 46654 + ... + 47882.

It is an arithmetic number, because the mean of its divisors is an integer number (2219945).

Almost surely, 258092372 is an apocalyptic number.

58092372 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58092372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79918020).

58092372 is an abundant number, since it is smaller than the sum of its proper divisors (101743668).

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

58092372 is a wasteful number, since it uses less digits than its factorization.

58092372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 58092372 is about 7621.8352120733. The cubic root of 58092372 is about 387.2930496750.

The spelling of 58092372 in words is "fifty-eight million, ninety-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1229 1313 1818 2458 2626 3636 3687 3939 4916 5252 7374 7878 11061 11817 14748 15756 15977 22122 23634 31954 44244 47268 47931 63908 95862 124129 143793 191724 248258 287586 372387 496516 575172 744774 1117161 1489548 1613677 2234322 3227354 4468644 4841031 6454708 9682062 14523093 19364124 29046186 58092372