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3993912 = 23321317251
BaseRepresentation
bin1111001111000100111000
321111220121200
433033010320
52010301122
6221334200
745643026
oct17170470
97456550
103993912
11228875a
121407360
13a9ab80
1475d716
1553d5ac
hex3cf138

3993912 has 96 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1152000.

The previous prime is 3993911. The next prime is 3993943. The reversal of 3993912 is 2193993.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15787 + ... + 16037.

Almost surely, 23993912 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 3993912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

3993912 is an abundant number, since it is smaller than the sum of its proper divisors (8389368).

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

3993912 is a wasteful number, since it uses less digits than its factorization.

3993912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 3993912 is about 1998.4774204379. The cubic root of 3993912 is about 158.6595301579.

The spelling of 3993912 in words is "three million, nine hundred ninety-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 251 306 312 408 442 468 502 612 663 753 884 936 1004 1224 1326 1506 1768 1989 2008 2259 2652 3012 3263 3978 4267 4518 5304 6024 6526 7956 8534 9036 9789 12801 13052 15912 17068 18072 19578 25602 26104 29367 34136 38403 39156 51204 55471 58734 76806 78312 102408 110942 117468 153612 166413 221884 234936 307224 332826 443768 499239 665652 998478 1331304 1996956 3993912