Search a number
-
+
50039296 = 29175749
BaseRepresentation
bin1011111011100…
…0101000000000
310111011021000021
42332320220000
5100302224141
64544303224
71145220106
oct276705000
9114137007
1050039296
112627829a
1214911b14
13a4a0268
146907c76
1545d66d1
hex2fb8a00

50039296 has 40 divisors (see below), whose sum is σ = 105880500. Its totient is φ = 23543808.

The previous prime is 50039291. The next prime is 50039359. The reversal of 50039296 is 69293005.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48441600 + 1597696 = 6960^2 + 1264^2 .

It is a super-2 number, since 2×500392962 = 5007862288351232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (50039291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5830 + ... + 11578.

Almost surely, 250039296 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 50039296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52940250).

50039296 is an abundant number, since it is smaller than the sum of its proper divisors (55841204).

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

50039296 is an equidigital number, since it uses as much as digits as its factorization.

50039296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 50039296 is about 7073.8459129387. The cubic root of 50039296 is about 368.4996363927.

The spelling of 50039296 in words is "fifty million, thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 5749 8704 11498 22996 45992 91984 97733 183968 195466 367936 390932 735872 781864 1471744 1563728 2943488 3127456 6254912 12509824 25019648 50039296