Search a number
-
+
81906318 = 23213541647
BaseRepresentation
bin1001110000111…
…00101010001110
312201010021100100
410320130222032
5131432000233
612043311530
72013122634
oct470345216
9181107310
1081906318
114226347a
122351b5a6
1313c79ca0
14ac41354
1572cd813
hex4e1ca8e

81906318 has 48 divisors (see below), whose sum is σ = 191763936. Its totient is φ = 25116480.

The previous prime is 81906299. The next prime is 81906329. The reversal of 81906318 is 81360918.

81906318 is a `hidden beast` number, since 8 + 19 + 0 + 631 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126271 + ... + 126917.

It is an arithmetic number, because the mean of its divisors is an integer number (3995082).

Almost surely, 281906318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81906318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95881968).

81906318 is an abundant number, since it is smaller than the sum of its proper divisors (109857618).

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

81906318 is a wasteful number, since it uses less digits than its factorization.

81906318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 81906318 is about 9050.2109367683. The cubic root of 81906318 is about 434.2826384927.

The spelling of 81906318 in words is "eighty-one million, nine hundred six thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 541 647 1082 1294 1623 1941 3246 3882 4869 5823 7033 8411 9738 11646 14066 16822 21099 25233 42198 50466 63297 75699 126594 151398 350027 700054 1050081 2100162 3150243 4550351 6300486 9100702 13651053 27302106 40953159 81906318