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5133315 = 351153587
BaseRepresentation
bin10011100101010000000011
3100122210120210
4103211100003
52303231230
6302005203
761426635
oct23452003
910583523
105133315
112996810
121876803
1310a9685
14978a55
156b5eb0
hex4e5403

5133315 has 32 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 2437760.

The previous prime is 5133313. The next prime is 5133353.

It is a happy number.

5133315 is nontrivially palindromic in base 10.

5133315 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 5133315 - 21 = 5133313 is a prime.

It is a nude number because it is divisible by every one of its digits.

5133315 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5133291 and 5133300.

It is not an unprimeable number, because it can be changed into a prime (5133311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8452 + ... + 9038.

It is an arithmetic number, because the mean of its divisors is an integer number (285768).

Almost surely, 25133315 is an apocalyptic number.

5133315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5133315 is a deficient number, since it is larger than the sum of its proper divisors (4011261).

5133315 is a wasteful number, since it uses less digits than its factorization.

5133315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659.

The product of its digits is 675, while the sum is 21.

The square root of 5133315 is about 2265.6820165239. The cubic root of 5133315 is about 172.5040536750.

It can be divided in two parts, 513 and 3315, that added together give a triangular number (3828 = T87).

The spelling of 5133315 in words is "five million, one hundred thirty-three thousand, three hundred fifteen".

Divisors: 1 3 5 11 15 33 53 55 159 165 265 583 587 795 1749 1761 2915 2935 6457 8745 8805 19371 31111 32285 93333 96855 155555 342221 466665 1026663 1711105 5133315