Search a number
-
+
3995904 = 28311243
BaseRepresentation
bin1111001111100100000000
321112000100110
433033210000
52010332104
6221351320
745651603
oct17174400
97460313
103995904
11228a200
121408540
13a9ba53
1476033a
1553de89
hex3cf900

3995904 has 108 divisors (see below), whose sum is σ = 11961488. Its totient is φ = 1182720.

The previous prime is 3995903. The next prime is 3995921. The reversal of 3995904 is 4095993.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3995903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92907 + ... + 92949.

Almost surely, 23995904 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 3995904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980744).

3995904 is an abundant number, since it is smaller than the sum of its proper divisors (7965584).

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

3995904 is a wasteful number, since it uses less digits than its factorization.

3995904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 3995904 is about 1998.9757377217. The cubic root of 3995904 is about 158.6859034025.

The spelling of 3995904 in words is "three million, nine hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 121 128 129 132 172 176 192 242 256 258 264 344 352 363 384 473 484 516 528 688 704 726 768 946 968 1032 1056 1376 1408 1419 1452 1892 1936 2064 2112 2752 2816 2838 2904 3784 3872 4128 4224 5203 5504 5676 5808 7568 7744 8256 8448 10406 11008 11352 11616 15136 15488 15609 16512 20812 22704 23232 30272 30976 31218 33024 41624 45408 46464 60544 62436 83248 90816 92928 121088 124872 166496 181632 249744 332992 363264 499488 665984 998976 1331968 1997952 3995904