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50320100 = 22521373673
BaseRepresentation
bin1011111111110…
…1001011100100
310111200112012102
42333331023210
5100340220400
64554311232
71150466555
oct277751344
9114615172
1050320100
112644a266
1214a28518
13a56b00c
14697c32c
15463e9d5
hex2ffd2e4

50320100 has 36 divisors (see below), whose sum is σ = 110021604. Its totient is φ = 19975680.

The previous prime is 50320091. The next prime is 50320103. The reversal of 50320100 is 102305.

It can be written as a sum of positive squares in 6 ways, for example, as 6310144 + 44009956 = 2512^2 + 6634^2 .

It is a super-2 number, since 2×503201002 = 5064224928020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (50320103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11864 + ... + 15536.

Almost surely, 250320100 is an apocalyptic number.

50320100 is a gapful number since it is divisible by the number (50) 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 50320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55010802).

50320100 is an abundant number, since it is smaller than the sum of its proper divisors (59701504).

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

50320100 is a wasteful number, since it uses less digits than its factorization.

50320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 50320100 is about 7093.6661889322. Note that the first 3 decimals coincide. The cubic root of 50320100 is about 369.1876504358.

Adding to 50320100 its reverse (102305), we get a palindrome (50422405).

The spelling of 50320100 in words is "fifty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 3673 6850 7346 13700 14692 18365 36730 73460 91825 183650 367300 503201 1006402 2012804 2516005 5032010 10064020 12580025 25160050 50320100