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58131045 = 3257315953
BaseRepresentation
bin1101110111000…
…0001001100101
311001101100210200
43131300021211
5104340143140
65433541113
71304051160
oct335601145
9131340720
1058131045
112a8a4795
1217574799
13c07438b
147a12ad7
155184030
hex3770265

58131045 has 48 divisors (see below), whose sum is σ = 118889472. Its totient is φ = 25712640.

The previous prime is 58131043. The next prime is 58131053. The reversal of 58131045 is 54013185.

58131045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58131045 - 21 = 58131043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58131043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6789 + ... + 12741.

It is an arithmetic number, because the mean of its divisors is an integer number (2476864).

Almost surely, 258131045 is an apocalyptic number.

It is an amenable number.

58131045 is an abundant number, since it is smaller than the sum of its proper divisors (60758427).

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

58131045 is a wasteful number, since it uses less digits than its factorization.

58131045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 58131045 is about 7624.3717773991. The cubic root of 58131045 is about 387.3789729565.

It can be divided in two parts, 581 and 31045, that added together give a triangular number (31626 = T251).

The spelling of 58131045 in words is "fifty-eight million, one hundred thirty-one thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 5953 9765 17859 29765 41671 53577 89295 125013 184543 208355 267885 375039 553629 625065 922715 1291801 1660887 1875195 2768145 3875403 6459005 8304435 11626209 19377015 58131045