Search a number
-
+
31244512 = 2513195967
BaseRepresentation
bin111011100110…
…0000011100000
32011210101102011
41313030003200
530444311022
63033402304
7526400605
oct167140340
964711364
1031244512
1116700512
12a569394
13661c5a0
1442146ac
152b22977
hex1dcc0e0

31244512 has 96 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 13229568.

The previous prime is 31244449. The next prime is 31244527. The reversal of 31244512 is 21544213.

Its product of digits (960) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466303 + ... + 466369.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 231244512 is an apocalyptic number.

31244512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31244512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

31244512 is an abundant number, since it is smaller than the sum of its proper divisors (40726688).

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

31244512 is a wasteful number, since it uses less digits than its factorization.

31244512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 31244512 is about 5589.6790605544. The cubic root of 31244512 is about 314.9618228697.

Adding to 31244512 its reverse (21544213), we get a palindrome (52788725).

The spelling of 31244512 in words is "thirty-one million, two hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 59 67 76 104 118 134 152 208 236 247 268 304 416 472 494 536 608 767 871 944 988 1072 1121 1273 1534 1742 1888 1976 2144 2242 2546 3068 3484 3952 3953 4484 5092 6136 6968 7904 7906 8968 10184 12272 13936 14573 15812 16549 17936 20368 24544 27872 29146 31624 33098 35872 40736 51389 58292 63248 66196 75107 102778 116584 126496 132392 150214 205556 233168 264784 300428 411112 466336 529568 600856 822224 976391 1201712 1644448 1952782 2403424 3905564 7811128 15622256 31244512