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3993048 = 2332311789
BaseRepresentation
bin1111001110110111011000
321111212102200
433032313120
52010234143
6221330200
745640353
oct17166730
97455380
103993048
112288044
121406960
13a9a667
1475d29a
1553d1d3
hex3cedd8

3993048 has 48 divisors (see below), whose sum is σ = 11169600. Its totient is φ = 1287360.

The previous prime is 3993043. The next prime is 3993049. The reversal of 3993048 is 8403993.

3993048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338 + ... + 3126.

It is an arithmetic number, because the mean of its divisors is an integer number (232700).

Almost surely, 23993048 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 3993048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584800).

3993048 is an abundant number, since it is smaller than the sum of its proper divisors (7176552).

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

3993048 is a wasteful number, since it uses less digits than its factorization.

3993048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3993048 is about 1998.2612441821. The cubic root of 3993048 is about 158.6480884336.

The spelling of 3993048 in words is "three million, nine hundred ninety-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1789 2232 3578 5367 7156 10734 14312 16101 21468 32202 42936 55459 64404 110918 128808 166377 221836 332754 443672 499131 665508 998262 1331016 1996524 3993048