Search a number
-
+
12564244 = 22711192113
BaseRepresentation
bin101111111011…
…011100010100
3212122022220101
4233323130110
511204023434
61125143444
7211536310
oct57733424
925568811
1012564244
117101780
12425ab84
1327aba84
141950b40
151182b14
hexbfb714

12564244 has 72 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 4596480.

The previous prime is 12564193. The next prime is 12564247. The reversal of 12564244 is 44246521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12564247) 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, 111132 + ... + 111244.

It is an arithmetic number, because the mean of its divisors is an integer number (405384).

Almost surely, 212564244 is an apocalyptic number.

12564244 is a gapful number since it is divisible by the number (14) 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 12564244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

12564244 is an abundant number, since it is smaller than the sum of its proper divisors (16623404).

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

12564244 is a wasteful number, since it uses less digits than its factorization.

12564244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 12564244 is about 3544.6077357022. The cubic root of 12564244 is about 232.4763547850.

The spelling of 12564244 in words is "twelve million, five hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 113 133 154 209 226 266 308 361 418 452 532 722 791 836 1243 1444 1463 1582 2147 2486 2527 2926 3164 3971 4294 4972 5054 5852 7942 8588 8701 10108 15029 15884 17402 23617 27797 30058 34804 40793 47234 55594 60116 81586 94468 111188 163172 165319 285551 330638 448723 571102 661276 897446 1142204 1794892 3141061 6282122 12564244