Search a number
-
+
50121000 = 2332535569
BaseRepresentation
bin1011111100110…
…0100100101000
310111022102002100
42333030210220
5100312333000
64550133400
71146010236
oct277144450
9114272070
1050121000
1126323716
1214951260
13a4cb4c7
146929956
154600a00
hex2fcc928

50121000 has 96 divisors (see below), whose sum is σ = 169439400. Its totient is φ = 13363200.

The previous prime is 50120957. The next prime is 50121007. The reversal of 50121000 is 12105.

It is a happy number.

50121000 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 4 ways, for example, as 7584516 + 42536484 = 2754^2 + 6522^2 .

It is a super-2 number, since 2×501210002 = 5024229282000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (50121007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6216 + ... + 11784.

Almost surely, 250121000 is an apocalyptic number.

50121000 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 50121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84719700).

50121000 is an abundant number, since it is smaller than the sum of its proper divisors (119318400).

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

50121000 is a wasteful number, since it uses less digits than its factorization.

50121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 50121000 is about 7079.6186337966. The cubic root of 50121000 is about 368.7000890027.

Adding to 50121000 its reverse (12105), we get a palindrome (50133105).

The spelling of 50121000 in words is "fifty million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 5569 9000 11138 16707 22276 27845 33414 44552 50121 55690 66828 83535 100242 111380 133656 139225 167070 200484 222760 250605 278450 334140 400968 417675 501210 556900 668280 696125 835350 1002420 1113800 1253025 1392250 1670700 2004840 2088375 2506050 2784500 3341400 4176750 5012100 5569000 6265125 8353500 10024200 12530250 16707000 25060500 50121000