Search a number
-
+
81481608 = 233213263331
BaseRepresentation
bin1001101101101…
…00111110001000
312200022200202100
410312310332020
5131324402413
612030233400
72006403465
oct466647610
9180280670
1081481608
1141aa337a
1223355860
1313b5b890
14ab7066c
157247a73
hex4db4f88

81481608 has 96 divisors (see below), whose sum is σ = 239279040. Its totient is φ = 24900480.

The previous prime is 81481601. The next prime is 81481639. The reversal of 81481608 is 80618418.

81481608 is a `hidden beast` number, since 8 + 1 + 48 + 1 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (81481601) 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, 246003 + ... + 246333.

It is an arithmetic number, because the mean of its divisors is an integer number (2492490).

Almost surely, 281481608 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 81481608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119639520).

81481608 is an abundant number, since it is smaller than the sum of its proper divisors (157797432).

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

81481608 is a wasteful number, since it uses less digits than its factorization.

81481608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 81481608 is about 9026.7163464906. The cubic root of 81481608 is about 433.5307066685.

The spelling of 81481608 in words is "eighty-one million, four hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 263 312 331 468 526 662 789 936 993 1052 1324 1578 1986 2104 2367 2648 2979 3156 3419 3972 4303 4734 5958 6312 6838 7944 8606 9468 10257 11916 12909 13676 17212 18936 20514 23832 25818 27352 30771 34424 38727 41028 51636 61542 77454 82056 87053 103272 123084 154908 174106 246168 261159 309816 348212 522318 696424 783477 1044636 1131689 1566954 2089272 2263378 3133908 3395067 4526756 6267816 6790134 9053512 10185201 13580268 20370402 27160536 40740804 81481608