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58042640 = 2453719609
BaseRepresentation
bin1101110101101…
…0100100010000
311001012212112102
43131122210100
5104324331030
65432015532
71303232345
oct335324420
9131185472
1058042640
112a844327
12175315a8
13c043076
1479cc7cc
155167c45
hex375a910

58042640 has 40 divisors (see below), whose sum is σ = 138603480. Its totient is φ = 22588416.

The previous prime is 58042637. The next prime is 58042651. The reversal of 58042640 is 4624085.

It can be written as a sum of positive squares in 4 ways, for example, as 36772096 + 21270544 = 6064^2 + 4612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6845 + ... + 12764.

It is an arithmetic number, because the mean of its divisors is an integer number (3465087).

Almost surely, 258042640 is an apocalyptic number.

It is an amenable number.

58042640 is an abundant number, since it is smaller than the sum of its proper divisors (80560840).

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

58042640 is a wasteful number, since it uses less digits than its factorization.

58042640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19659 (or 19653 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 58042640 is about 7618.5720446813. The cubic root of 58042640 is about 387.1824995505.

The spelling of 58042640 in words is "fifty-eight million, forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 19609 39218 78436 98045 156872 196090 313744 392180 725533 784360 1451066 1568720 2902132 3627665 5804264 7255330 11608528 14510660 29021320 58042640