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58079868 = 223711239263
BaseRepresentation
bin1101110110001…
…1101001111100
311001021202121020
43131203221330
5104332023433
65432504140
71303446030
oct335435174
9131252536
1058079868
112a86a2a0
121754b050
13c056cb2
1479dc1c0
155173cb3
hex3763a7c

58079868 has 96 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 14965440.

The previous prime is 58079867. The next prime is 58079893. The reversal of 58079868 is 86897085.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 58079868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58079863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220705 + ... + 220967.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 258079868 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 58079868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155840).

58079868 is an abundant number, since it is smaller than the sum of its proper divisors (112231812).

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

58079868 is a wasteful number, since it uses less digits than its factorization.

58079868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 58079868 is about 7621.0148930441. The cubic root of 58079868 is about 387.2652602561.

The spelling of 58079868 in words is "fifty-eight million, seventy-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 239 263 308 462 478 526 717 789 924 956 1052 1434 1578 1673 1841 2629 2868 2893 3156 3346 3682 5019 5258 5523 5786 6692 7364 7887 8679 10038 10516 11046 11572 15774 17358 18403 20076 20251 22092 31548 34716 36806 40502 55209 60753 62857 73612 81004 110418 121506 125714 188571 220836 243012 251428 377142 439999 691427 754284 879998 1319997 1382854 1759996 2074281 2639994 2765708 4148562 4839989 5279988 8297124 9679978 14519967 19359956 29039934 58079868