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58359020 = 22529239421
BaseRepresentation
bin1101111010011…
…1110011101100
311001210221112012
43132213303230
5104414442040
65442500352
71306020626
oct336476354
9131727465
1058359020
112aa3aaa5
12176646b8
13c124085
147a71c16
1551cb865
hex37a7cec

58359020 has 48 divisors (see below), whose sum is σ = 127612800. Its totient is φ = 22391040.

The previous prime is 58359001. The next prime is 58359061. The reversal of 58359020 is 2095385.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 138410 + ... + 138830.

It is an arithmetic number, because the mean of its divisors is an integer number (2658600).

Almost surely, 258359020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58359020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63806400).

58359020 is an abundant number, since it is smaller than the sum of its proper divisors (69253780).

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

58359020 is a wasteful number, since it uses less digits than its factorization.

58359020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 58359020 is about 7639.3075602439. The cubic root of 58359020 is about 387.8847126213.

The spelling of 58359020 in words is "fifty-eight million, three hundred fifty-nine thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 239 290 421 478 580 842 956 1195 1684 2105 2390 4210 4780 6931 8420 12209 13862 24418 27724 34655 48836 61045 69310 100619 122090 138620 201238 244180 402476 503095 1006190 2012380 2917951 5835902 11671804 14589755 29179510 58359020