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3995090944 = 2141318757
BaseRepresentation
bin1110111000100000…
…0100000000000000
3101022102110122111021
43232020010000000
531140220402234
61500232355224
7201000466315
oct35610040000
911272418437
103995090944
111770140a59
12935b45b14
134b88c3150
1429c836d0c
15185b059b4
hexee204000

3995090944 has 60 divisors (see below), whose sum is σ = 8605007404. Its totient is φ = 1843789824.

The previous prime is 3995090927. The next prime is 3995090987. The reversal of 3995090944 is 4490905993.

It can be written as a sum of positive squares in 2 ways, for example, as 1425817600 + 2569273344 = 37760^2 + 50688^2 .

It is a super-2 number, since 2×39950909442 = 31921503301661622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3995090891 and 3995090900.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203614 + ... + 222370.

Almost surely, 23995090944 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 3995090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302503702).

3995090944 is an abundant number, since it is smaller than the sum of its proper divisors (4609916460).

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

3995090944 is an equidigital number, since it uses as much as digits as its factorization.

3995090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18798 (or 18772 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 52.

The square root of 3995090944 is about 63206.7317933778. The cubic root of 3995090944 is about 1586.7513994091.

The spelling of 3995090944 in words is "three billion, nine hundred ninety-five million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 18757 26624 37514 53248 75028 106496 150056 212992 243841 300112 487682 600224 975364 1200448 1950728 2400896 3901456 4801792 7802912 9603584 15605824 19207168 31211648 38414336 62423296 76828672 124846592 153657344 249693184 307314688 499386368 998772736 1997545472 3995090944