Search a number
-
+
81837743 = 132683709
BaseRepresentation
bin1001110000010…
…11111010101111
312200222210021112
410320023322233
5131422301433
612042022235
72012416001
oct470137257
9180883245
1081837743
11422169a9
12234a797b
1313c54a00
14ac24371
1572b8348
hex4e0beaf

81837743 has 12 divisors (see below), whose sum is σ = 88872120. Its totient is φ = 75325536.

The previous prime is 81837727. The next prime is 81837757. The reversal of 81837743 is 34773818.

It is not a de Polignac number, because 81837743 - 24 = 81837727 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 81837743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81837713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115073 + ... + 115781.

It is an arithmetic number, because the mean of its divisors is an integer number (7406010).

Almost surely, 281837743 is an apocalyptic number.

81837743 is a deficient number, since it is larger than the sum of its proper divisors (7034377).

81837743 is a wasteful number, since it uses less digits than its factorization.

81837743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1405 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 81837743 is about 9046.4215577210. The cubic root of 81837743 is about 434.1614054883.

The spelling of 81837743 in words is "eighty-one million, eight hundred thirty-seven thousand, seven hundred forty-three".

Divisors: 1 13 169 683 709 8879 9217 115427 119821 484247 6295211 81837743