Search a number
-
+
81124848 = 24337139193
BaseRepresentation
bin1001101010111…
…01110111110000
312122122120101000
410311131313300
5131231443343
612014442000
72003356410
oct465356760
9178576330
1081124848
114187a332
1223203300
1313a6538c
14aaba640
1571c6ed3
hex4d5ddf0

81124848 has 160 divisors (see below), whose sum is σ = 269427200. Its totient is φ = 22892544.

The previous prime is 81124843. The next prime is 81124859. The reversal of 81124848 is 84842118.

It is a happy number.

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 (81124843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420240 + ... + 420432.

It is an arithmetic number, because the mean of its divisors is an integer number (1683920).

Almost surely, 281124848 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 81124848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134713600).

81124848 is an abundant number, since it is smaller than the sum of its proper divisors (188302352).

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

81124848 is a wasteful number, since it uses less digits than its factorization.

81124848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

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

The square root of 81124848 is about 9006.9333293858. The cubic root of 81124848 is about 432.8970557115.

The spelling of 81124848 in words is "eighty-one million, one hundred twenty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 139 144 168 189 193 216 252 278 336 378 386 417 432 504 556 579 756 772 834 973 1008 1112 1158 1251 1351 1512 1544 1668 1737 1946 2224 2316 2502 2702 2919 3024 3088 3336 3474 3753 3892 4053 4632 5004 5211 5404 5838 6672 6948 7506 7784 8106 8757 9264 10008 10422 10808 11676 12159 13896 15012 15568 16212 17514 20016 20844 21616 23352 24318 26271 26827 27792 30024 32424 35028 36477 41688 46704 48636 52542 53654 60048 64848 70056 72954 80481 83376 97272 105084 107308 140112 145908 160962 187789 194544 210168 214616 241443 291816 321924 375578 420336 429232 482886 563367 583632 643848 724329 751156 965772 1126734 1287696 1448658 1502312 1690101 1931544 2253468 2897316 3004624 3380202 3863088 4506936 5070303 5794632 6760404 9013872 10140606 11589264 13520808 20281212 27041616 40562424 81124848