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58220064 = 2532728879
BaseRepresentation
bin1101111000010…
…1111000100000
311001112212220200
43132011320200
5104401020224
65435505200
71304601540
oct336057040
9131485820
1058220064
112a955661
12175b8200
13c0a5a56
147a37320
1551a05c9
hex3785e20

58220064 has 72 divisors (see below), whose sum is σ = 189221760. Its totient is φ = 16633728.

The previous prime is 58220051. The next prime is 58220069. The reversal of 58220064 is 46002285.

58220064 is a `hidden beast` number, since 582 + 20 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (58220069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12424 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (2628080).

Almost surely, 258220064 is an apocalyptic number.

It is an amenable number.

58220064 is an abundant number, since it is smaller than the sum of its proper divisors (131001696).

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

58220064 is a wasteful number, since it uses less digits than its factorization.

58220064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28902 (or 28891 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 58220064 is about 7630.2073366325. The cubic root of 58220064 is about 387.5766097577.

The spelling of 58220064 in words is "fifty-eight million, two hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 28879 57758 86637 115516 173274 202153 231032 259911 346548 404306 462064 519822 606459 693096 808612 924128 1039644 1212918 1386192 1617224 1819377 2079288 2425836 2772384 3234448 3638754 4158576 4851672 6468896 7277508 8317152 9703344 14555016 19406688 29110032 58220064