Search a number
-
+
50181120 = 210345112
BaseRepresentation
bin1011111101101…
…1010000000000
310111102110120000
42333123100000
5100321243440
64551320000
71146350433
oct277332000
9114373500
1050181120
1126364900
1214980000
13a51c992
14694381a
154613730
hex2fdb400

50181120 has 330 divisors, whose sum is σ = 197654226. Its totient is φ = 12165120.

The previous prime is 50181097. The next prime is 50181121. The reversal of 50181120 is 2118105.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 10036224 = 6336^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (330).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 50181093 and 50181102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50181121) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4561915 + ... + 4561925.

Almost surely, 250181120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98827113).

50181120 is an abundant number, since it is smaller than the sum of its proper divisors (147473106).

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

50181120 is a wasteful number, since it uses less digits than its factorization.

50181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 50181120 is about 7083.8633527193. The cubic root of 50181120 is about 368.8474483429.

Multiplying 50181120 by its product of nonzero digits (80), we get a square (4014489600 = 633602).

50181120 divided by its product of nonzero digits (80) gives a square (627264 = 7922).

Adding to 50181120 its reverse (2118105), we get a palindrome (52299225).

The spelling of 50181120 in words is "fifty million, one hundred eighty-one thousand, one hundred twenty".