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58141616 = 24133171127
BaseRepresentation
bin1101110111001…
…0101110110000
311001101220022012
43131302232300
5104341012431
65434102052
71304124041
oct335625660
9131356265
1058141616
112a901725
121757a928
13c079130
147a168c8
15518722b
hex3772bb0

58141616 has 80 divisors (see below), whose sum is σ = 127991808. Its totient is φ = 25401600.

The previous prime is 58141597. The next prime is 58141619. The reversal of 58141616 is 61614185.

It is a super-2 number, since 2×581416162 = 6760895022182912, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58141619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457745 + ... + 457871.

Almost surely, 258141616 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 58141616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63995904).

58141616 is an abundant number, since it is smaller than the sum of its proper divisors (69850192).

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

58141616 is a wasteful number, since it uses less digits than its factorization.

58141616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 58141616 is about 7625.0649833297. The cubic root of 58141616 is about 387.4024528654.

The spelling of 58141616 in words is "fifty-eight million, one hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 52 62 71 104 124 127 142 208 248 254 284 403 496 508 568 806 923 1016 1136 1612 1651 1846 2032 2201 3224 3302 3692 3937 4402 6448 6604 7384 7874 8804 9017 13208 14768 15748 17608 18034 26416 28613 31496 35216 36068 51181 57226 62992 72136 102362 114452 117221 144272 204724 228904 234442 279527 409448 457808 468884 559054 818896 937768 1118108 1875536 2236216 3633851 4472432 7267702 14535404 29070808 58141616