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50084900 = 22524011249
BaseRepresentation
bin1011111100001…
…1110000100100
310111020120120022
42333003300210
5100310204100
64545254312
71145500055
oct277036044
9114216508
1050084900
11262a9588
1214934398
13a4b7c48
14691a72c
1545e4e85
hex2fc3c24

50084900 has 36 divisors (see below), whose sum is σ = 109042500. Its totient is φ = 19968000.

The previous prime is 50084899. The next prime is 50084911. The reversal of 50084900 is 948005.

50084900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1196836 + 48888064 = 1094^2 + 6992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 50084900.

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 11 ways as a sum of consecutive naturals, for example, 39476 + ... + 40724.

Almost surely, 250084900 is an apocalyptic number.

50084900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50084900 is an abundant number, since it is smaller than the sum of its proper divisors (58957600).

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

50084900 is a wasteful number, since it uses less digits than its factorization.

50084900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 50084900 is about 7077.0686021827. The cubic root of 50084900 is about 368.6115481379.

The spelling of 50084900 in words is "fifty million, eighty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 401 802 1249 1604 2005 2498 4010 4996 6245 8020 10025 12490 20050 24980 31225 40100 62450 124900 500849 1001698 2003396 2504245 5008490 10016980 12521225 25042450 50084900