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3997992 = 2331741239
BaseRepresentation
bin1111010000000100101000
321112010012210
433100010220
52010413432
6221405120
745660645
oct17200450
97463183
103997992
112290829
1214097a0
13a9c99b
14760dcc
1553e8cc
hex3d0128

3997992 has 64 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1218560.

The previous prime is 3997979. The next prime is 3997993. The reversal of 3997992 is 2997993.

It is a happy number.

3997992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3997993) 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, 16609 + ... + 16847.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 23997992 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 3997992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3997992 is an abundant number, since it is smaller than the sum of its proper divisors (6888408).

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

3997992 is a wasteful number, since it uses less digits than its factorization.

3997992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its digits is 275562, while the sum is 48.

The square root of 3997992 is about 1999.4979369832. The cubic root of 3997992 is about 158.7135382399.

Subtracting from 3997992 its reverse (2997993), we obtain a palindrome (999999).

The spelling of 3997992 in words is "three million, nine hundred ninety-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 239 246 328 408 478 492 697 717 956 984 1394 1434 1912 2091 2788 2868 4063 4182 5576 5736 8126 8364 9799 12189 16252 16728 19598 24378 29397 32504 39196 48756 58794 78392 97512 117588 166583 235176 333166 499749 666332 999498 1332664 1998996 3997992