Search a number
-
+
52031937 = 3196611381
BaseRepresentation
bin1100011001111…
…1000111000001
310121220111101210
43012133013001
5101310010222
65055120333
71201156416
oct306370701
9117814353
1052031937
1127409401
12155130a9
13aa1a239
146ca610d
15487bd0c
hex319f1c1

52031937 has 16 divisors (see below), whose sum is σ = 73190720. Its totient is φ = 32788800.

The previous prime is 52031851. The next prime is 52031939. The reversal of 52031937 is 73913025.

52031937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52031937 - 27 = 52031809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52031939) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36987 + ... + 38367.

It is an arithmetic number, because the mean of its divisors is an integer number (4574420).

Almost surely, 252031937 is an apocalyptic number.

52031937 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

52031937 is a deficient number, since it is larger than the sum of its proper divisors (21158783).

52031937 is a wasteful number, since it uses less digits than its factorization.

52031937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 52031937 is about 7213.3166435420. The cubic root of 52031937 is about 373.3275136387.

It can be divided in two parts, 5203 and 1937, that added together give a triangular number (7140 = T119).

The spelling of 52031937 in words is "fifty-two million, thirty-one thousand, nine hundred thirty-seven".

Divisors: 1 3 19 57 661 1381 1983 4143 12559 26239 37677 78717 912841 2738523 17343979 52031937