Search a number
-
+
2050795824 = 2437211312557
BaseRepresentation
bin111101000111100…
…1010100100110000
312021220221012222220
41322033022210300
513200000431244
6535255401040
7101551322400
oct17217124460
95256835886
102050795824
11962691290
12492983180
13268b50a6c
1415651c800
15c0098319
hex7a3ca930

2050795824 has 240 divisors, whose sum is σ = 6942698496. Its totient is φ = 515289600.

The previous prime is 2050795819. The next prime is 2050795843. The reversal of 2050795824 is 4285970502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800754 + ... + 803310.

Almost surely, 22050795824 is an apocalyptic number.

2050795824 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 2050795824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471349248).

2050795824 is an abundant number, since it is smaller than the sum of its proper divisors (4891902672).

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

2050795824 is a wasteful number, since it uses less digits than its factorization.

2050795824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 2050795824 is about 45285.7132438035. The cubic root of 2050795824 is about 1270.4984556288.

The spelling of 2050795824 in words is "two billion, fifty million, seven hundred ninety-five thousand, eight hundred twenty-four".