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5993928 = 2332175983
BaseRepresentation
bin10110110111010111001000
3102021112010100
4112313113020
53013301203
6332245400
7101643003
oct26672710
912245110
105993928
113424366
122010860
13131b305
14b2053a
157d5ea3
hex5b75c8

5993928 has 96 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1826304.

The previous prime is 5993927. The next prime is 5993941. The reversal of 5993928 is 8293995.

5993928 is a `hidden beast` number, since 599 + 39 + 28 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5993927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72175 + ... + 72257.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 25993928 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 5993928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5993928 is an abundant number, since it is smaller than the sum of its proper divisors (11696472).

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

5993928 is a wasteful number, since it uses less digits than its factorization.

5993928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 5993928 is about 2448.2499872358. The cubic root of 5993928 is about 181.6507410592.

The spelling of 5993928 in words is "five million, nine hundred ninety-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 59 68 72 83 102 118 136 153 166 177 204 236 249 306 332 354 408 472 498 531 612 664 708 747 996 1003 1062 1224 1411 1416 1494 1992 2006 2124 2822 2988 3009 4012 4233 4248 4897 5644 5976 6018 8024 8466 9027 9794 11288 12036 12699 14691 16932 18054 19588 24072 25398 29382 33864 36108 39176 44073 50796 58764 72216 83249 88146 101592 117528 166498 176292 249747 332996 352584 499494 665992 749241 998988 1498482 1997976 2996964 5993928