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50768384 = 29229433
BaseRepresentation
bin1100000110101…
…0101000000000
310112112022010112
43001222220000
5100444042014
65012050452
71154344532
oct301525000
9115468115
1050768384
1126726047
1215003a28
13a697084
146a57852
1546cc73e
hex306aa00

50768384 has 40 divisors (see below), whose sum is σ = 102115860. Its totient is φ = 25214976.

The previous prime is 50768381. The next prime is 50768387. The reversal of 50768384 is 48386705.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50768381) and next prime (50768387).

It can be written as a sum of positive squares in 2 ways, for example, as 50694400 + 73984 = 7120^2 + 272^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50768381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117032 + ... + 117464.

Almost surely, 250768384 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 50768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51057930).

50768384 is an abundant number, since it is smaller than the sum of its proper divisors (51347476).

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

50768384 is an equidigital number, since it uses as much as digits as its factorization.

50768384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 50768384 is about 7125.1936114045. The cubic root of 50768384 is about 370.2807316739.

The spelling of 50768384 in words is "fifty million, seven hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 229 256 433 458 512 866 916 1732 1832 3464 3664 6928 7328 13856 14656 27712 29312 55424 58624 99157 110848 117248 198314 221696 396628 793256 1586512 3173024 6346048 12692096 25384192 50768384