Search a number
-
+
2811082728 = 233316775581
BaseRepresentation
bin1010011110001101…
…1011011111101000
321020220112210120010
42213203123133220
521224114121403
61142535131520
7126442544316
oct24743333750
97226483503
102811082728
111212868073
12665513ba0
1335a50a87c
141c94ab0b6
15116bc8603
hexa78db7e8

2811082728 has 64 divisors (see below), whose sum is σ = 7266424320. Its totient is φ = 905299200.

The previous prime is 2811082717. The next prime is 2811082751. The reversal of 2811082728 is 8272801182.

It is a super-2 number, since 2×28110827282 = 15804372207319843968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500898 + ... + 506478.

It is an arithmetic number, because the mean of its divisors is an integer number (113537880).

Almost surely, 22811082728 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 2811082728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633212160).

2811082728 is an abundant number, since it is smaller than the sum of its proper divisors (4455341592).

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

2811082728 is a wasteful number, since it uses less digits than its factorization.

2811082728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 2811082728 is about 53019.6447366445. The cubic root of 2811082728 is about 1411.3169005476.

The spelling of 2811082728 in words is "two billion, eight hundred eleven million, eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 677 744 1354 2031 2708 4062 5416 5581 8124 11162 16248 16743 20987 22324 33486 41974 44648 62961 66972 83948 125922 133944 167896 173011 251844 346022 503688 519033 692044 1038066 1384088 2076132 3778337 4152264 7556674 11335011 15113348 22670022 30226696 45340044 90680088 117128447 234256894 351385341 468513788 702770682 937027576 1405541364 2811082728