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50761728 = 2123617
BaseRepresentation
bin1100000110100…
…1000000000000
310112111222000000
43001221000000
5100443333403
65012000000
71154316243
oct301510000
9115458000
1050761728
1126721046
1215000000
13a694034
146a5525a
1546ca7a3
hex3069000

50761728 has 182 divisors, whose sum is σ = 161149734. Its totient is φ = 15925248.

The previous prime is 50761723. The next prime is 50761741. The reversal of 50761728 is 82716705.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 2985984 = 6912^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50761692 and 50761701.

It is not an unprimeable number, because it can be changed into a prime (50761723) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2985976 + ... + 2985992.

Almost surely, 250761728 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 50761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80574867).

50761728 is an abundant number, since it is smaller than the sum of its proper divisors (110388006).

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

50761728 is an frugal number, since it uses more digits than its factorization.

50761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 50761728 is about 7124.7265210673. The cubic root of 50761728 is about 370.2645490548.

The spelling of 50761728 in words is "fifty million, seven hundred sixty-one thousand, seven hundred twenty-eight".