Search a number
-
+
81412848 = 243211103499
BaseRepresentation
bin1001101101001…
…00001011110000
312200012012102200
410312210023300
5131320202343
612024543200
72005666146
oct466441360
9180165380
1081412848
1141a56750
1223321b00
1313b364aa
14ab53596
1572324d3
hex4da42f0

81412848 has 120 divisors (see below), whose sum is σ = 251472000. Its totient is φ = 24382080.

The previous prime is 81412843. The next prime is 81412867. The reversal of 81412848 is 84821418.

It is a happy number.

It is a super-2 number, since 2×814128482 = 13256103638942208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81412841) 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, 162903 + ... + 163401.

It is an arithmetic number, because the mean of its divisors is an integer number (2095600).

Almost surely, 281412848 is an apocalyptic number.

81412848 is a gapful number since it is divisible by the number (88) 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 81412848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125736000).

81412848 is an abundant number, since it is smaller than the sum of its proper divisors (170059152).

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

81412848 is a wasteful number, since it uses less digits than its factorization.

81412848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 81412848 is about 9022.9068486824. The cubic root of 81412848 is about 433.4087242924.

The spelling of 81412848 in words is "eighty-one million, four hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 309 396 412 499 528 618 792 824 927 998 1133 1236 1497 1584 1648 1854 1996 2266 2472 2994 3399 3708 3992 4491 4532 4944 5489 5988 6798 7416 7984 8982 9064 10197 10978 11976 13596 14832 16467 17964 18128 20394 21956 23952 27192 32934 35928 40788 43912 49401 51397 54384 65868 71856 81576 87824 98802 102794 131736 154191 163152 197604 205588 263472 308382 395208 411176 462573 565367 616764 790416 822352 925146 1130734 1233528 1696101 1850292 2261468 2467056 3392202 3700584 4522936 5088303 6784404 7401168 9045872 10176606 13568808 20353212 27137616 40706424 81412848