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5105853 = 3241101137
BaseRepresentation
bin10011011110100010111101
3100121101220200
4103132202331
52301341403
6301234113
761253604
oct23364275
910541820
105105853
112978115
121862939
13109a01c
1496ca3b
156acca3
hex4de8bd

5105853 has 24 divisors (see below), whose sum is σ = 7685496. Its totient is φ = 3264000.

The previous prime is 5105843. The next prime is 5105857. The reversal of 5105853 is 3585015.

It can be written as a sum of positive squares in 4 ways, for example, as 956484 + 4149369 = 978^2 + 2037^2 .

It is not a de Polignac number, because 5105853 - 29 = 5105341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105857) 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, 37201 + ... + 37337.

It is an arithmetic number, because the mean of its divisors is an integer number (320229).

Almost surely, 25105853 is an apocalyptic number.

It is an amenable number.

5105853 is a deficient number, since it is larger than the sum of its proper divisors (2579643).

5105853 is a wasteful number, since it uses less digits than its factorization.

5105853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5105853 is about 2259.6134625196. The cubic root of 5105853 is about 172.1958850850.

The spelling of 5105853 in words is "five million, one hundred five thousand, eight hundred fifty-three".

Divisors: 1 3 9 41 101 123 137 303 369 411 909 1233 4141 5617 12423 13837 16851 37269 41511 50553 124533 567317 1701951 5105853