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58428820 = 22519315137
BaseRepresentation
bin1101111011100…
…0110110010100
311001221111021101
43132320312110
5104424210240
65444155444
71306431262
oct336706624
9131844241
1058428820
112aa8848a
1217698b84
13c149a88
147a8d432
1551e239a
hex37b8d94

58428820 has 24 divisors (see below), whose sum is σ = 123344424. Its totient is φ = 23248896.

The previous prime is 58428793. The next prime is 58428829. The reversal of 58428820 is 2882485.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 55145476 = 1812^2 + 7426^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58428820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58428829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3709 + ... + 11428.

It is an arithmetic number, because the mean of its divisors is an integer number (5139351).

Almost surely, 258428820 is an apocalyptic number.

It is an amenable number.

58428820 is an abundant number, since it is smaller than the sum of its proper divisors (64915604).

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

58428820 is a wasteful number, since it uses less digits than its factorization.

58428820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15339 (or 15337 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 58428820 is about 7643.8746719187. The cubic root of 58428820 is about 388.0392935017.

The spelling of 58428820 in words is "fifty-eight million, four hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 15137 30274 60548 75685 151370 302740 2921441 5842882 11685764 14607205 29214410 58428820