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58410664 = 23135310597
BaseRepresentation
bin1101111011010…
…0011010101000
311001220120100221
43132310122220
5104423120124
65443535424
71306324324
oct336643250
9131816327
1058410664
112aa75884
121768a574
13c141730
147a86984
1551dbce4
hex37b46a8

58410664 has 32 divisors (see below), whose sum is σ = 120181320. Its totient is φ = 26447616.

The previous prime is 58410661. The next prime is 58410701. The reversal of 58410664 is 46601485.

It can be written as a sum of positive squares in 4 ways, for example, as 29702500 + 28708164 = 5450^2 + 5358^2 .

It is not an unprimeable number, because it can be changed into a prime (58410661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 10810.

Almost surely, 258410664 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 58410664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60090660).

58410664 is an abundant number, since it is smaller than the sum of its proper divisors (61770656).

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

58410664 is a wasteful number, since it uses less digits than its factorization.

58410664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10665 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 58410664 is about 7642.6869620573. The cubic root of 58410664 is about 387.9990966075. Note that the first 3 decimals are identical.

The spelling of 58410664 in words is "fifty-eight million, four hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 5512 10597 21194 42388 84776 137761 275522 551044 561641 1102088 1123282 2246564 4493128 7301333 14602666 29205332 58410664