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58568640 = 2635132192
BaseRepresentation
bin1101111101101…
…0111111000000
311002012121001220
43133122333000
5104443144030
65451155040
71310553024
oct337327700
9132177056
1058568640
1130073539
1217745a80
13c198600
147ac8384
15521da10
hex37dafc0

58568640 has 252 divisors, whose sum is σ = 212515704. Its totient is φ = 13658112.

The previous prime is 58568639. The next prime is 58568677. The reversal of 58568640 is 4686585.

It is a junction number, because it is equal to n+sod(n) for n = 58568592 and 58568601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3082551 + ... + 3082569.

Almost surely, 258568640 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 58568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106257852).

58568640 is an abundant number, since it is smaller than the sum of its proper divisors (153947064).

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

58568640 is a wasteful number, since it uses less digits than its factorization.

58568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 58568640 is about 7653.0150921059. The cubic root of 58568640 is about 388.3485725731.

The spelling of 58568640 in words is "fifty-eight million, five hundred sixty-eight thousand, six hundred forty".