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58805240 = 2351328699
BaseRepresentation
bin1110000001010…
…0101111111000
311002122121121212
43200110233320
5110023231430
65500222252
71312556564
oct340245770
9132577555
1058805240
113021527a
121783a988
13c24c200
147b4a6a4
155268b95
hex3814bf8

58805240 has 48 divisors (see below), whose sum is σ = 143289000. Its totient is φ = 21710208.

The previous prime is 58805231. The next prime is 58805267. The reversal of 58805240 is 4250885.

58805240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58805197 and 58805206.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2411 + ... + 11109.

Almost surely, 258805240 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 58805240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71644500).

58805240 is an abundant number, since it is smaller than the sum of its proper divisors (84483760).

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

58805240 is a wasteful number, since it uses less digits than its factorization.

58805240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 58805240 is about 7668.4574720083. The cubic root of 58805240 is about 388.8708078064.

The spelling of 58805240 in words is "fifty-eight million, eight hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 8699 17398 34796 43495 69592 86990 113087 173980 226174 347960 452348 565435 904696 1130870 1470131 2261740 2940262 4523480 5880524 7350655 11761048 14701310 29402620 58805240