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3985956 = 22331317167
BaseRepresentation
bin1111001101001000100100
321111111201000
433031020210
52010022311
6221233300
745610602
oct17151044
97444630
103985956
112282787
121402830
13a97370
1475a872
1553b056
hex3cd224

3985956 has 96 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1147392.

The previous prime is 3985951. The next prime is 3985999. The reversal of 3985956 is 6595893.

It is not an unprimeable number, because it can be changed into a prime (3985951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23785 + ... + 23951.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

Almost surely, 23985956 is an apocalyptic number.

3985956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3985956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

3985956 is an abundant number, since it is smaller than the sum of its proper divisors (7868124).

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

3985956 is a wasteful number, since it uses less digits than its factorization.

3985956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 3985956 is about 1996.4859127978. The cubic root of 3985956 is about 158.5541085121.

The spelling of 3985956 in words is "three million, nine hundred eighty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 167 204 221 234 306 334 351 442 459 468 501 612 663 668 702 884 918 1002 1326 1404 1503 1836 1989 2004 2171 2652 2839 3006 3978 4342 4509 5678 5967 6012 6513 7956 8517 8684 9018 11356 11934 13026 17034 18036 19539 23868 25551 26052 34068 36907 39078 51102 58617 73814 76653 78156 102204 110721 117234 147628 153306 221442 234468 306612 332163 442884 664326 996489 1328652 1992978 3985956