Search a number
-
+
31315312 = 247259677
BaseRepresentation
bin111011101110…
…1010101110000
32011220222112101
41313131111300
531004042222
63035110144
7530114200
oct167352560
964828471
1031315312
1116749726
12a5a2354
136645892
144232400
152b38927
hex1ddd570

31315312 has 60 divisors (see below), whose sum is σ = 71881560. Its totient is φ = 13173888.

The previous prime is 31315307. The next prime is 31315313. The reversal of 31315312 is 21351313.

It is a self number, because there is not a number n which added to its sum of digits gives 31315312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31315313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45918 + ... + 46594.

It is an arithmetic number, because the mean of its divisors is an integer number (1198026).

Almost surely, 231315312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31315312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35940780).

31315312 is an abundant number, since it is smaller than the sum of its proper divisors (40566248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31315312 is a wasteful number, since it uses less digits than its factorization.

31315312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 745 counting only the distinct ones).

The product of its digits is 270, while the sum is 19.

The square root of 31315312 is about 5596.0085775488. The cubic root of 31315312 is about 315.1995443490.

Adding to 31315312 its reverse (21351313), we get a palindrome (52666625).

It can be divided in two parts, 313 and 15312, that added together give a 6-th power (15625 = 56).

The spelling of 31315312 in words is "thirty-one million, three hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 677 784 826 944 1354 1652 2708 2891 3304 4739 5416 5782 6608 9478 10832 11564 18956 23128 33173 37912 39943 46256 66346 75824 79886 132692 159772 265384 279601 319544 530768 559202 639088 1118404 1957207 2236808 3914414 4473616 7828828 15657656 31315312