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50268100 = 22527092
BaseRepresentation
bin1011111111000…
…0011111000100
310111120212212111
42333300133010
5100332034400
64553230404
71150162141
oct277603704
9114525774
1050268100
1126414193
1214a02404
13a55044c
1469673c8
15462e3ba
hex2ff07c4

50268100 has 27 divisors (see below), whose sum is σ = 109235847. Its totient is φ = 20078880.

The previous prime is 50268079. The next prime is 50268131. The reversal of 50268100 is 186205.

It is a happy number.

The square root of 50268100 is 7090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13883076 + 36385024 = 3726^2 + 6032^2 .

It is a super-2 number, since 2×502681002 = 5053763755220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70546 + ... + 71254.

Almost surely, 250268100 is an apocalyptic number.

50268100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50268100 is the 7090-th square number.

It is an amenable number.

50268100 is an abundant number, since it is smaller than the sum of its proper divisors (58967747).

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

50268100 is an equidigital number, since it uses as much as digits as its factorization.

50268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 50268100 is about 369.0604357011.

The spelling of 50268100 in words is "fifty million, two hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 709 1418 2836 3545 7090 14180 17725 35450 70900 502681 1005362 2010724 2513405 5026810 10053620 12567025 25134050 50268100