Search a number
-
+
2050564100 = 2252131577357
BaseRepresentation
bin111101000111001…
…0010000000000100
312021220111110010112
41322032102000010
513144421022400
6535250412152
7101546335664
oct17216220004
95256443115
102050564100
11962543182
12492891058
13268a9c450
1415649c1a4
15c004e835
hex7a392004

2050564100 has 36 divisors (see below), whose sum is σ = 4792013604. Its totient is φ = 757130880.

The previous prime is 2050564079. The next prime is 2050564111. The reversal of 2050564100 is 14650502.

It can be written as a sum of positive squares in 6 ways, for example, as 196056004 + 1854508096 = 14002^2 + 43064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 787379 + ... + 789978.

It is an arithmetic number, because the mean of its divisors is an integer number (133111489).

Almost surely, 22050564100 is an apocalyptic number.

2050564100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2050564100 is an abundant number, since it is smaller than the sum of its proper divisors (2741449504).

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

2050564100 is a wasteful number, since it uses less digits than its factorization.

2050564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577384 (or 1577377 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2050564100 is about 45283.1547045919. The cubic root of 2050564100 is about 1270.4506016738.

The spelling of 2050564100 in words is "two billion, fifty million, five hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1577357 3154714 6309428 7886785 15773570 20505641 31547140 39433925 41011282 78867850 82022564 102528205 157735700 205056410 410112820 512641025 1025282050 2050564100