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3995776 = 27193153
BaseRepresentation
bin1111001111100010000000
321112000011201
433033202000
52010331101
6221350544
745651331
oct17174200
97460151
103995776
11228a0a4
121408454
13a9b985
14760288
1553de01
hex3cf880

3995776 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 1797120.

The previous prime is 3995753. The next prime is 3995777. The reversal of 3995776 is 6775993.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

Its product of digits (357210) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (3995777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75366 + ... + 75418.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 23995776 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 3995776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

3995776 is an abundant number, since it is smaller than the sum of its proper divisors (4817024).

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

3995776 is a wasteful number, since it uses less digits than its factorization.

3995776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its digits is 357210, while the sum is 46.

The square root of 3995776 is about 1998.9437210687. The cubic root of 3995776 is about 158.6842089997.

The spelling of 3995776 in words is "three million, nine hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 31 32 38 53 62 64 76 106 124 128 152 212 248 304 424 496 589 608 848 992 1007 1178 1216 1643 1696 1984 2014 2356 2432 3286 3392 3968 4028 4712 6572 6784 8056 9424 13144 16112 18848 26288 31217 32224 37696 52576 62434 64448 75392 105152 124868 128896 210304 249736 499472 998944 1997888 3995776