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5836337 = 1329113137
BaseRepresentation
bin10110010000111000110001
3101222111221122
4112100320301
52443230322
6325032025
7100415363
oct26207061
911874848
105836337
113326a21
121b55615
131294670
14abcd33
157a4442
hex590e31

5836337 has 16 divisors (see below), whose sum is σ = 6607440. Its totient is φ = 5117952.

The previous prime is 5836291. The next prime is 5836349. The reversal of 5836337 is 7336385.

It can be written as a sum of positive squares in 8 ways, for example, as 1175056 + 4661281 = 1084^2 + 2159^2 .

It is a cyclic number.

It is not a de Polignac number, because 5836337 - 28 = 5836081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5836297 and 5836306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5836357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42533 + ... + 42669.

It is an arithmetic number, because the mean of its divisors is an integer number (412965).

Almost surely, 25836337 is an apocalyptic number.

It is an amenable number.

5836337 is a deficient number, since it is larger than the sum of its proper divisors (771103).

5836337 is a wasteful number, since it uses less digits than its factorization.

5836337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292.

The product of its digits is 45360, while the sum is 35.

The square root of 5836337 is about 2415.8511957486. The cubic root of 5836337 is about 180.0446082857.

The spelling of 5836337 in words is "five million, eight hundred thirty-six thousand, three hundred thirty-seven".

Divisors: 1 13 29 113 137 377 1469 1781 3277 3973 15481 42601 51649 201253 448949 5836337