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58048064 = 261753353
BaseRepresentation
bin1101110101101…
…1111001000000
311001020010222022
43131123321000
5104330014224
65432101012
71303254224
oct335337100
9131203868
1058048064
112a848408
1217534768
13c045689
1479d0784
15516965e
hex375be40

58048064 has 28 divisors (see below), whose sum is σ = 121967244. Its totient is φ = 27316224.

The previous prime is 58048061. The next prime is 58048069. The reversal of 58048064 is 46084085.

58048064 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 49000000 + 9048064 = 7000^2 + 3008^2 .

It is not an unprimeable number, because it can be changed into a prime (58048061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25589 + ... + 27764.

It is an arithmetic number, because the mean of its divisors is an integer number (4355973).

Almost surely, 258048064 is an apocalyptic number.

It is an amenable number.

58048064 is an abundant number, since it is smaller than the sum of its proper divisors (63919180).

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

58048064 is a wasteful number, since it uses less digits than its factorization.

58048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53382 (or 53372 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 58048064 is about 7618.9280085849. The cubic root of 58048064 is about 387.1945597214.

The spelling of 58048064 in words is "fifty-eight million, forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 53353 106706 213412 426824 853648 907001 1707296 1814002 3414592 3628004 7256008 14512016 29024032 58048064