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50144640 = 2735721341
BaseRepresentation
bin1011111101001…
…0010110000000
310111100121111220
42333102112000
5100314112030
64550435040
71146136200
oct277222600
9114317456
1050144640
112633a457
1214962a80
13a5091b0
146934400
154607a10
hex2fd2580

50144640 has 384 divisors, whose sum is σ = 205117920. Its totient is φ = 10321920.

The previous prime is 50144621. The next prime is 50144641. The reversal of 50144640 is 4644105.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 50144640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50144641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223020 + ... + 1223060.

Almost surely, 250144640 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 50144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

50144640 is an abundant number, since it is smaller than the sum of its proper divisors (154973280).

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

50144640 is a wasteful number, since it uses less digits than its factorization.

50144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 50144640 is about 7081.2880184328. The cubic root of 50144640 is about 368.7580467458.

Adding to 50144640 its reverse (4644105), we get a palindrome (54788745).

The spelling of 50144640 in words is "fifty million, one hundred forty-four thousand, six hundred forty".