Search a number
-
+
50313200 = 24527217151
BaseRepresentation
bin1011111111101…
…1011111110000
310111200011201212
42333323133300
5100340010300
64554215252
71150440500
oct277733760
9114604655
1050313200
1126445063
1214a24528
13a567b32
146979a00
15463c935
hex2ffb7f0

50313200 has 180 divisors, whose sum is σ = 149869872. Its totient is φ = 16128000.

The previous prime is 50313199. The next prime is 50313203. The reversal of 50313200 is 231305.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50313203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333125 + ... + 333275.

Almost surely, 250313200 is an apocalyptic number.

50313200 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 50313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74934936).

50313200 is an abundant number, since it is smaller than the sum of its proper divisors (99556672).

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

50313200 is a wasteful number, since it uses less digits than its factorization.

50313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 50313200 is about 7093.1798229003. The cubic root of 50313200 is about 369.1707750637.

Adding to 50313200 its reverse (231305), we get a palindrome (50544505).

The spelling of 50313200 in words is "fifty million, three hundred thirteen thousand, two hundred".