Search a number
-
+
8252937 = 3271111909
BaseRepresentation
bin11111011110111000001001
3120112021220100
4133132320021
54103043222
6452520013
7130102020
oct37367011
916467810
108252937
114727610
122920009
13192c5c4
14114b8b7
15ad04ac
hex7dee09

8252937 has 24 divisors (see below), whose sum is σ = 14863680. Its totient is φ = 4286880.

The previous prime is 8252917. The next prime is 8252941. The reversal of 8252937 is 7392528.

It is a happy number.

8252937 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8252937 - 27 = 8252809 is a prime.

It is a super-2 number, since 2×82529372 = 136221938251938, which contains 22 as substring.

8252937 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8252917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5262 + ... + 6647.

It is an arithmetic number, because the mean of its divisors is an integer number (619320).

Almost surely, 28252937 is an apocalyptic number.

It is an amenable number.

8252937 is a deficient number, since it is larger than the sum of its proper divisors (6610743).

8252937 is a wasteful number, since it uses less digits than its factorization.

8252937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11933 (or 11930 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 8252937 is about 2872.7925438500. The cubic root of 8252937 is about 202.0859762104.

The spelling of 8252937 in words is "eight million, two hundred fifty-two thousand, nine hundred thirty-seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 11909 35727 83363 107181 130999 250089 392997 750267 916993 1178991 2750979 8252937