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50083232 = 252921861
BaseRepresentation
bin1011111100001…
…1010110100000
310111020111021112
42333003112200
5100310130412
64545242452
71145462153
oct277032640
9114214245
1050083232
11262a8301
1214933428
13a4b7264
146919c9a
1545e4722
hex2fc35a0

50083232 has 36 divisors (see below), whose sum is σ = 102173526. Its totient is φ = 24165120.

The previous prime is 50083223. The next prime is 50083249. The reversal of 50083232 is 23238005.

50083232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27081616 + 23001616 = 5204^2 + 4796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 50083198 and 50083207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25982 + ... + 27842.

Almost surely, 250083232 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 50083232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51086763).

50083232 is an abundant number, since it is smaller than the sum of its proper divisors (52090294).

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

50083232 is a wasteful number, since it uses less digits than its factorization.

50083232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 50083232 is about 7076.9507557987. The cubic root of 50083232 is about 368.6074560803.

The spelling of 50083232 in words is "fifty million, eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 1861 3364 3722 6728 7444 13456 14888 26912 29776 53969 59552 107938 215876 431752 863504 1565101 1727008 3130202 6260404 12520808 25041616 50083232