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58334980 = 22511535003
BaseRepresentation
bin1101111010000…
…1111100000100
311001202201112211
43132201330010
5104413204410
65442153204
71305560554
oct336417404
9131681484
1058334980
112aa23a30
1217652804
13c116152
147a67164
1551c468a
hex37a1f04

58334980 has 48 divisors (see below), whose sum is σ = 136188864. Its totient is φ = 20808320.

The previous prime is 58334953. The next prime is 58334981. The reversal of 58334980 is 8943385.

58334980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58334981) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9159 + ... + 14161.

It is an arithmetic number, because the mean of its divisors is an integer number (2837268).

Almost surely, 258334980 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 58334980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68094432).

58334980 is an abundant number, since it is smaller than the sum of its proper divisors (77853884).

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

58334980 is a wasteful number, since it uses less digits than its factorization.

58334980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 58334980 is about 7637.7339571368. The cubic root of 58334980 is about 387.8314444823.

The spelling of 58334980 in words is "fifty-eight million, three hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5003 5830 10006 11660 20012 25015 50030 55033 100060 110066 220132 265159 275165 530318 550330 1060636 1100660 1325795 2651590 2916749 5303180 5833498 11666996 14583745 29167490 58334980