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58542064 = 247289839
BaseRepresentation
bin1101111101010…
…0011111110000
311002011020121121
43133110133300
5104441321224
65450432024
71310412400
oct337243760
9132136547
1058542064
1130055579
1217732614
13c189499
147abc800
155215be4
hex37d47f0

58542064 has 60 divisors (see below), whose sum is σ = 133585200. Its totient is φ = 24777984.

The previous prime is 58542053. The next prime is 58542083. The reversal of 58542064 is 46024585.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69357 + ... + 70195.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 258542064 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 58542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66792600).

58542064 is an abundant number, since it is smaller than the sum of its proper divisors (75043136).

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

58542064 is a wasteful number, since it uses less digits than its factorization.

58542064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 58542064 is about 7651.2785859620. The cubic root of 58542064 is about 388.2898249049.

The spelling of 58542064 in words is "fifty-eight million, five hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 356 392 623 712 784 839 1246 1424 1678 2492 3356 4361 4984 5873 6712 8722 9968 11746 13424 17444 23492 34888 41111 46984 69776 74671 82222 93968 149342 164444 298684 328888 522697 597368 657776 1045394 1194736 2090788 3658879 4181576 7317758 8363152 14635516 29271032 58542064