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58675064 = 2373173463
BaseRepresentation
bin1101111111010…
…0111101111000
311002102000001112
43133310331320
5110010100224
65453335452
71311505220
oct337647570
9132360045
1058675064
1130136498
1217797588
13c204b96
147b15080
15524030e
hex37f4f78

58675064 has 64 divisors (see below), whose sum is σ = 131850240. Its totient is φ = 23950080.

The previous prime is 58675063. The next prime is 58675073. The reversal of 58675064 is 46057685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58675063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126497 + ... + 126959.

It is an arithmetic number, because the mean of its divisors is an integer number (2060160).

Almost surely, 258675064 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 58675064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65925120).

58675064 is an abundant number, since it is smaller than the sum of its proper divisors (73175176).

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

58675064 is a wasteful number, since it uses less digits than its factorization.

58675064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 58675064 is about 7659.9650129749. The cubic root of 58675064 is about 388.5836505980.

The spelling of 58675064 in words is "fifty-eight million, six hundred seventy-five thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 73 124 146 217 248 292 434 463 511 584 868 926 1022 1736 1852 2044 2263 3241 3704 4088 4526 6482 9052 12964 14353 15841 18104 25928 28706 31682 33799 57412 63364 67598 100471 114824 126728 135196 200942 236593 270392 401884 473186 803768 946372 1047769 1892744 2095538 4191076 7334383 8382152 14668766 29337532 58675064