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58332064 = 257260411
BaseRepresentation
bin1101111010000…
…1001110100000
311001202120112211
43132201032200
5104413111224
65442131504
71305546220
oct336411640
9131676484
1058332064
112aa2181a
1217650b94
13c114a1b
147a66080
1551c3894
hex37a13a0

58332064 has 24 divisors (see below), whose sum is σ = 131247648. Its totient is φ = 24999360.

The previous prime is 58332041. The next prime is 58332067. The reversal of 58332064 is 46023385.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (58332067) 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, 129982 + ... + 130429.

It is an arithmetic number, because the mean of its divisors is an integer number (5468652).

Almost surely, 258332064 is an apocalyptic number.

It is an amenable number.

58332064 is an abundant number, since it is smaller than the sum of its proper divisors (72915584).

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

58332064 is a wasteful number, since it uses less digits than its factorization.

58332064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260428 (or 260420 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 58332064 is about 7637.5430604351. The cubic root of 58332064 is about 387.8249821771.

The spelling of 58332064 in words is "fifty-eight million, three hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 260411 520822 1041644 1822877 2083288 3645754 4166576 7291508 8333152 14583016 29166032 58332064