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58064010 = 23517257443
BaseRepresentation
bin1101110101111…
…1110010001010
311001020221211220
43131133302022
5104331022020
65432302510
71303351554
oct335376212
9131227756
1058064010
112a859394
1217541a36
13c04ca04
1479d64d4
15516e240
hex375fc8a

58064010 has 64 divisors (see below), whose sum is σ = 148459392. Its totient is φ = 14483456.

The previous prime is 58063997. The next prime is 58064051. The reversal of 58064010 is 1046085.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130849 + ... + 131291.

It is an arithmetic number, because the mean of its divisors is an integer number (2319678).

Almost surely, 258064010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58064010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74229696).

58064010 is an abundant number, since it is smaller than the sum of its proper divisors (90395382).

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

58064010 is a wasteful number, since it uses less digits than its factorization.

58064010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 58064010 is about 7619.9744094058. The cubic root of 58064010 is about 387.2300110282.

The spelling of 58064010 in words is "fifty-eight million, sixty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 257 443 510 514 771 886 1285 1329 1542 2215 2570 2658 3855 4369 4430 6645 7531 7710 8738 13107 13290 15062 21845 22593 26214 37655 43690 45186 65535 75310 112965 113851 131070 225930 227702 341553 569255 683106 1138510 1707765 1935467 3415530 3870934 5806401 9677335 11612802 19354670 29032005 58064010