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58026080 = 2557103503
BaseRepresentation
bin1101110101011…
…0100001100000
311001012000211002
43131112201200
5104323313310
65431411132
71303133150
oct335264140
9131160732
1058026080
112a832942
1217523aa8
13c038678
1479c6760
155162da5
hex3756860

58026080 has 96 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 19662336.

The previous prime is 58025999. The next prime is 58026091. The reversal of 58026080 is 8062085.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115109 + ... + 115611.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 258026080 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 58026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

58026080 is an abundant number, since it is smaller than the sum of its proper divisors (100479904).

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

58026080 is a wasteful number, since it uses less digits than its factorization.

58026080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 58026080 is about 7617.4851493127. The cubic root of 58026080 is about 387.1456740256.

The spelling of 58026080 in words is "fifty-eight million, twenty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 103 112 140 160 206 224 280 412 503 515 560 721 824 1006 1030 1120 1442 1648 2012 2060 2515 2884 3296 3521 3605 4024 4120 5030 5768 7042 7210 8048 8240 10060 11536 14084 14420 16096 16480 17605 20120 23072 28168 28840 35210 40240 51809 56336 57680 70420 80480 103618 112672 115360 140840 207236 259045 281680 362663 414472 518090 563360 725326 828944 1036180 1450652 1657888 1813315 2072360 2901304 3626630 4144720 5802608 7253260 8289440 11605216 14506520 29013040 58026080