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58942890 = 2345531373
BaseRepresentation
bin1110000011011…
…0010110101010
311002220121110000
43200312112222
5110042133030
65503203430
71314002106
oct340662652
9132817400
1058942890
11302a9736
12178a6576
13c299a66
147b84906
155294860
hex38365aa

58942890 has 80 divisors (see below), whose sum is σ = 161598888. Its totient is φ = 15410304.

The previous prime is 58942853. The next prime is 58942903. The reversal of 58942890 is 9824985.

58942890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58936329 + 6561 = 7677^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 42244 + ... + 43616.

Almost surely, 258942890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58942890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80799444).

58942890 is an abundant number, since it is smaller than the sum of its proper divisors (102655998).

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

58942890 is a wasteful number, since it uses less digits than its factorization.

58942890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 58942890 is about 7677.4273034657. The cubic root of 58942890 is about 389.1739914181.

The spelling of 58942890 in words is "fifty-eight million, nine hundred forty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1373 1431 1590 2385 2746 2862 4119 4293 4770 6865 7155 8238 8586 12357 13730 14310 20595 21465 24714 37071 41190 42930 61785 72769 74142 111213 123570 145538 185355 218307 222426 363845 370710 436614 556065 654921 727690 1091535 1112130 1309842 1964763 2183070 3274605 3929526 5894289 6549210 9823815 11788578 19647630 29471445 58942890