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58076040 = 23351143997
BaseRepresentation
bin1101110110001…
…0101110001000
311001021120100110
43131202232020
5104331413130
65432434320
71303431621
oct335425610
9131246313
1058076040
112a867430
12175489a0
13c055329
1479daa48
155172ab0
hex3762b88

58076040 has 64 divisors (see below), whose sum is σ = 190071360. Its totient is φ = 14078720.

The previous prime is 58076023. The next prime is 58076047. The reversal of 58076040 is 4067085.

It is a happy number.

58076040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 58075989 and 58076007.

It is not an unprimeable number, because it can be changed into a prime (58076047) 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, 20679 + ... + 23318.

It is an arithmetic number, because the mean of its divisors is an integer number (2969865).

Almost surely, 258076040 is an apocalyptic number.

It is an amenable number.

58076040 is an abundant number, since it is smaller than the sum of its proper divisors (131995320).

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

58076040 is a wasteful number, since it uses less digits than its factorization.

58076040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44022 (or 44018 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 58076040 is about 7620.7637412532. The cubic root of 58076040 is about 387.2567519494.

The spelling of 58076040 in words is "fifty-eight million, seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 43997 87994 131991 175988 219985 263982 351976 439970 483967 527964 659955 879940 967934 1055928 1319910 1451901 1759880 1935868 2419835 2639820 2903802 3871736 4839670 5279640 5807604 7259505 9679340 11615208 14519010 19358680 29038020 58076040