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50137920 = 263357829
BaseRepresentation
bin1011111101000…
…0101101000000
310111100021022000
42333100231000
5100313403140
64550344000
71146110460
oct277205500
9114307260
1050137920
11263353a8
121495b000
13a506111
146931ba0
154605a30
hex2fd0b40

50137920 has 224 divisors, whose sum is σ = 202387200. Its totient is φ = 11446272.

The previous prime is 50137847. The next prime is 50137921. The reversal of 50137920 is 2973105.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×501379202 = 5027622043852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50137921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60066 + ... + 60894.

Almost surely, 250137920 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 50137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101193600).

50137920 is an abundant number, since it is smaller than the sum of its proper divisors (152249280).

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

50137920 is a wasteful number, since it uses less digits than its factorization.

50137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 50137920 is about 7080.8135125846. The cubic root of 50137920 is about 368.7415733016.

The spelling of 50137920 in words is "fifty million, one hundred thirty-seven thousand, nine hundred twenty".