Search a number
-
+
2850048864 = 2532132321439
BaseRepresentation
bin1010100111100000…
…0100101101100000
321100121212111001100
42221320010231200
521314103030424
61150450234400
7130425005235
oct25170045540
97317774040
102850048864
111232861993
12676585a00
13365601960
141d073178c
1511a323dc9
hexa9e04b60

2850048864 has 216 divisors, whose sum is σ = 9130605120. Its totient is φ = 838227456.

The previous prime is 2850048857. The next prime is 2850048899. The reversal of 2850048864 is 4688400582.

2850048864 is a `hidden beast` number, since 2 + 8 + 500 + 4 + 88 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1979857 + ... + 1981295.

It is an arithmetic number, because the mean of its divisors is an integer number (42271320).

Almost surely, 22850048864 is an apocalyptic number.

2850048864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2850048864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565302560).

2850048864 is an abundant number, since it is smaller than the sum of its proper divisors (6280556256).

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

2850048864 is a wasteful number, since it uses less digits than its factorization.

2850048864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2850048864 is about 53385.8489114859. The cubic root of 2850048864 is about 1417.8080418224.

The spelling of 2850048864 in words is "two billion, eight hundred fifty million, forty-eight thousand, eight hundred sixty-four".