Search a number
-
+
31245813 = 3217241293
BaseRepresentation
bin111011100110…
…0010111110101
32011210110012100
41313030113311
530444331223
63033412313
7526404444
oct167142765
964713170
1031245813
1116701495
12a56a099
136620061
144214d5b
152b23043
hex1dcc5f5

31245813 has 36 divisors (see below), whose sum is σ = 49280868. Its totient is φ = 19061760.

The previous prime is 31245769. The next prime is 31245817. The reversal of 31245813 is 31854213.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2537649 + 28708164 = 1593^2 + 5358^2 .

It is not a de Polignac number, because 31245813 - 26 = 31245749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31245817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106495 + ... + 106787.

It is an arithmetic number, because the mean of its divisors is an integer number (1368913).

Almost surely, 231245813 is an apocalyptic number.

It is an amenable number.

31245813 is a deficient number, since it is larger than the sum of its proper divisors (18035055).

31245813 is a wasteful number, since it uses less digits than its factorization.

31245813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 31245813 is about 5589.7954345396. The cubic root of 31245813 is about 314.9661944069.

Subtracting 31245813 from its reverse (31854213), we obtain a square (608400 = 7802).

The spelling of 31245813 in words is "thirty-one million, two hundred forty-five thousand, eight hundred thirteen".

Divisors: 1 3 9 17 41 51 123 153 289 293 369 697 867 879 2091 2601 2637 4981 6273 11849 12013 14943 35547 36039 44829 84677 106641 108117 204221 254031 612663 762093 1837989 3471757 10415271 31245813