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58540989 = 31331411181
BaseRepresentation
bin1101111101010…
…0001110111101
311002011012010210
43133110032331
5104441302424
65450423033
71310406303
oct337241675
9132135123
1058540989
1130054791
1217731a79
13c188b50
147abc273
155215729
hex37d43bd

58540989 has 32 divisors (see below), whose sum is σ = 88962048. Its totient is φ = 33984000.

The previous prime is 58540987. The next prime is 58540997. The reversal of 58540989 is 98904585.

It is a happy number.

It is not a de Polignac number, because 58540989 - 21 = 58540987 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58540987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48979 + ... + 50159.

It is an arithmetic number, because the mean of its divisors is an integer number (2780064).

Almost surely, 258540989 is an apocalyptic number.

It is an amenable number.

58540989 is a deficient number, since it is larger than the sum of its proper divisors (30421059).

58540989 is a wasteful number, since it uses less digits than its factorization.

58540989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269.

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 58540989 is about 7651.2083359428. The cubic root of 58540989 is about 388.2874481858.

The spelling of 58540989 in words is "fifty-eight million, five hundred forty thousand, nine hundred eighty-nine".

Divisors: 1 3 13 31 39 41 93 123 403 533 1181 1209 1271 1599 3543 3813 15353 16523 36611 46059 48421 49569 109833 145263 475943 629473 1427829 1501051 1888419 4503153 19513663 58540989