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3995264 = 277413
BaseRepresentation
bin1111001111011010000000
321111222110202
433033122000
52010322024
6221344332
745650000
oct17173200
97458422
103995264
112289779
1214080a8
13a9b680
14760000
1553dbae
hex3cf680

3995264 has 80 divisors (see below), whose sum is σ = 9999570. Its totient is φ = 1580544.

The previous prime is 3995231. The next prime is 3995269. The reversal of 3995264 is 4625993.

3995264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3841600 + 153664 = 1960^2 + 392^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (3995269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 307322 + ... + 307334.

Almost surely, 23995264 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 3995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999785).

3995264 is an abundant number, since it is smaller than the sum of its proper divisors (6004306).

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

3995264 is an frugal number, since it uses more digits than its factorization.

3995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 22 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 3995264 is about 1998.8156493284. The cubic root of 3995264 is about 158.6774310267.

The spelling of 3995264 in words is "three million, nine hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 343 364 392 416 448 637 686 728 784 832 896 1274 1372 1456 1568 1664 2401 2548 2744 2912 3136 4459 4802 5096 5488 5824 6272 8918 9604 10192 10976 11648 17836 19208 20384 21952 31213 35672 38416 40768 43904 62426 71344 76832 81536 124852 142688 153664 249704 285376 307328 499408 570752 998816 1997632 3995264