Search a number
-
+
5337993 = 319711319
BaseRepresentation
bin10100010111001110001001
3101001012100110
4110113032021
52331303433
6310224533
763241443
oct24271611
911035313
105337993
113016571
121955149
13114b89b
149cd493
15706963
hex517389

5337993 has 16 divisors (see below), whose sum is σ = 7603200. Its totient is φ = 3321360.

The previous prime is 5337991. The next prime is 5338009. The reversal of 5337993 is 3997335.

It is a happy number.

It is not a de Polignac number, because 5337993 - 21 = 5337991 is a prime.

It is a d-powerful number, because it can be written as 53 + 38 + 312 + 75 + 9 + 92 + 314 .

5337993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5337991) 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 15 ways as a sum of consecutive naturals, for example, 3388 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (475200).

Almost surely, 25337993 is an apocalyptic number.

It is an amenable number.

5337993 is a deficient number, since it is larger than the sum of its proper divisors (2265207).

5337993 is a wasteful number, since it uses less digits than its factorization.

5337993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412.

The product of its digits is 76545, while the sum is 39.

The square root of 5337993 is about 2310.4097039270. The cubic root of 5337993 is about 174.7669605582.

The spelling of 5337993 in words is "five million, three hundred thirty-seven thousand, nine hundred ninety-three".

Divisors: 1 3 19 57 71 213 1319 1349 3957 4047 25061 75183 93649 280947 1779331 5337993