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58412016 = 2434133467
BaseRepresentation
bin1101111011010…
…0101111110000
311001220122020000
43132310233300
5104423141031
65443550000
71306331265
oct336645760
9131818200
1058412016
112aa768a3
121768b300
13c142230
147a8726c
1551dc3e6
hex37b4bf0

58412016 has 100 divisors (see below), whose sum is σ = 182118552. Its totient is φ = 17967744.

The previous prime is 58412009. The next prime is 58412041. The reversal of 58412016 is 61021485.

It is a super-2 number, since 2×584120162 = 6823927226368512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15115 + ... + 18581.

Almost surely, 258412016 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 58412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91059276).

58412016 is an abundant number, since it is smaller than the sum of its proper divisors (123706536).

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

58412016 is a wasteful number, since it uses less digits than its factorization.

58412016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58412016 is about 7642.7754121131. The cubic root of 58412016 is about 388.0020901861.

The spelling of 58412016 in words is "fifty-eight million, four hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 3467 4212 5616 6934 8424 10401 13868 16848 20802 27736 31203 41604 45071 55472 62406 83208 90142 93609 124812 135213 166416 180284 187218 249624 270426 280827 360568 374436 405639 499248 540852 561654 721136 748872 811278 1081704 1123308 1216917 1497744 1622556 2163408 2246616 2433834 3245112 3650751 4493232 4867668 6490224 7301502 9735336 14603004 19470672 29206008 58412016