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5337953 = 37891621
BaseRepresentation
bin10100010111001101100001
3101001012021222
4110113031201
52331303303
6310224425
763241355
oct24271541
911035258
105337953
113016535
121955115
13114b86a
149cd465
15706938
hex517361

5337953 has 8 divisors (see below), whose sum is σ = 5547240. Its totient is φ = 5132160.

The previous prime is 5337947. The next prime is 5337961. The reversal of 5337953 is 3597335.

5337953 is digitally balanced in base 3, 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 4 ways, for example, as 1682209 + 3655744 = 1297^2 + 1912^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5337953 - 26 = 5337889 is a prime.

It is a d-powerful number, because it can be written as 55 + 35 + 35 + 75 + 96 + 55 + 314 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5337923) 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 7 ways as a sum of consecutive naturals, for example, 2483 + ... + 4103.

It is an arithmetic number, because the mean of its divisors is an integer number (693405).

Almost surely, 25337953 is an apocalyptic number.

It is an amenable number.

5337953 is a deficient number, since it is larger than the sum of its proper divisors (209287).

5337953 is a wasteful number, since it uses less digits than its factorization.

5337953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747.

The product of its digits is 42525, while the sum is 35.

The square root of 5337953 is about 2310.4010474374. The cubic root of 5337953 is about 174.7665240211.

The spelling of 5337953 in words is "five million, three hundred thirty-seven thousand, nine hundred fifty-three".

Divisors: 1 37 89 1621 3293 59977 144269 5337953