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3996096 = 263131601
BaseRepresentation
bin1111001111100111000000
321112000121120
433033213000
52010333341
6221352240
745652266
oct17174700
97460546
103996096
11228a365
121408680
13a9bb70
14760436
1553e066
hex3cf9c0

3996096 has 56 divisors (see below), whose sum is σ = 11393424. Its totient is φ = 1228800.

The previous prime is 3996079. The next prime is 3996107. The reversal of 3996096 is 6906993.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1696 + ... + 3296.

It is an arithmetic number, because the mean of its divisors is an integer number (203454).

Almost surely, 23996096 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 3996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696712).

3996096 is an abundant number, since it is smaller than the sum of its proper divisors (7397328).

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

3996096 is a wasteful number, since it uses less digits than its factorization.

3996096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 3996096 is about 1999.0237617397. The cubic root of 3996096 is about 158.6884449388.

The spelling of 3996096 in words is "three million, nine hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1601 2496 3202 4803 6404 9606 12808 19212 20813 25616 38424 41626 51232 62439 76848 83252 102464 124878 153696 166504 249756 307392 333008 499512 666016 999024 1332032 1998048 3996096