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58028420 = 22529100049
BaseRepresentation
bin1101110101011…
…1000110000100
311001012011000202
43131113012010
5104323402140
65431430032
71303143032
oct335270604
9131164022
1058028420
112a83467a
1217525318
13c039758
1479c7552
155163915
hex3757184

58028420 has 24 divisors (see below), whose sum is σ = 126063000. Its totient is φ = 22410752.

The previous prime is 58028389. The next prime is 58028437. The reversal of 58028420 is 2482085.

58028420 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 24964 + 58003456 = 158^2 + 7616^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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 7 ways as a sum of consecutive naturals, for example, 49445 + ... + 50604.

It is an arithmetic number, because the mean of its divisors is an integer number (5252625).

Almost surely, 258028420 is an apocalyptic number.

It is an amenable number.

58028420 is an abundant number, since it is smaller than the sum of its proper divisors (68034580).

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

58028420 is a wasteful number, since it uses less digits than its factorization.

58028420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100087 (or 100085 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 58028420 is about 7617.6387417624. The cubic root of 58028420 is about 387.1508780574.

It can be divided in two parts, 580 and 28420, that multiplied together give a square (16483600 = 40602).

The spelling of 58028420 in words is "fifty-eight million, twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 100049 200098 400196 500245 1000490 2000980 2901421 5802842 11605684 14507105 29014210 58028420