Search a number
-
+
50364144 = 2432367953
BaseRepresentation
bin1100000000011…
…1111011110000
310111202202121200
43000013323300
5100343123034
64555251200
71151042145
oct300077360
9114682550
1050364144
112647a366
1214a49b00
13a58508c
1469903cc
15464ca99
hex3007ef0

50364144 has 60 divisors (see below), whose sum is σ = 141482016. Its totient is φ = 16724736.

The previous prime is 50364143. The next prime is 50364157. The reversal of 50364144 is 44146305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50364143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52372 + ... + 53324.

Almost surely, 250364144 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 50364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70741008).

50364144 is an abundant number, since it is smaller than the sum of its proper divisors (91117872).

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

50364144 is a wasteful number, since it uses less digits than its factorization.

50364144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 50364144 is about 7096.7699695002. The cubic root of 50364144 is about 369.2953327803.

It can be divided in two parts, 5036 and 4144, that added together give a triangular number (9180 = T135).

The spelling of 50364144 in words is "fifty million, three hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 367 734 953 1101 1468 1906 2202 2859 2936 3303 3812 4404 5718 5872 6606 7624 8577 8808 11436 13212 15248 17154 17616 22872 26424 34308 45744 52848 68616 137232 349751 699502 1049253 1399004 2098506 2798008 3147759 4197012 5596016 6295518 8394024 12591036 16788048 25182072 50364144