Search a number
-
+
81312462 = 232721117229
BaseRepresentation
bin1001101100010…
…11101011001110
312200000002201200
410312023223032
5131303444322
612022450330
72005100400
oct466135316
9180002650
1081312462
1141998290
12232939a6
1313acc8aa
14ab28b70
1572128ac
hex4d8bace

81312462 has 216 divisors, whose sum is σ = 245685960. Its totient is φ = 19192320.

The previous prime is 81312461. The next prime is 81312493. The reversal of 81312462 is 26421318.

It is a super-2 number, since 2×813124622 = 13223432953002888, which contains 22 as substring.

Its product of digits (2304) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81312461) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2803864 + ... + 2803892.

It is an arithmetic number, because the mean of its divisors is an integer number (1137435).

Almost surely, 281312462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81312462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122842980).

81312462 is an abundant number, since it is smaller than the sum of its proper divisors (164373498).

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

81312462 is a wasteful number, since it uses less digits than its factorization.

81312462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 81312462 is about 9017.3422913850. The cubic root of 81312462 is about 433.2305130146.

The spelling of 81312462 in words is "eighty-one million, three hundred twelve thousand, four hundred sixty-two".