Search a number
-
+
81404598 = 23114167449
BaseRepresentation
bin1001101101000…
…10001010110110
312200011210010010
410312202022312
5131314421343
612024441050
72005633122
oct466421266
9180153103
1081404598
1141a50530
1223319186
1313b32802
14ab50582
15722ed33
hex4da22b6

81404598 has 64 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 23654400.

The previous prime is 81404593. The next prime is 81404621. The reversal of 81404598 is 89540418.

It is a super-3 number, since 3×814045983 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81404591) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181078 + ... + 181526.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 281404598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81404598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

81404598 is an abundant number, since it is smaller than the sum of its proper divisors (103664202).

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

81404598 is a wasteful number, since it uses less digits than its factorization.

81404598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573.

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 81404598 is about 9022.4496673575. The cubic root of 81404598 is about 433.3940839219.

The spelling of 81404598 in words is "eighty-one million, four hundred four thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 41 66 67 82 123 134 201 246 402 449 451 737 898 902 1347 1353 1474 2211 2694 2706 2747 4422 4939 5494 8241 9878 14817 16482 18409 29634 30083 30217 36818 55227 60166 60434 90249 90651 110454 180498 181302 202499 330913 404998 607497 661826 992739 1214994 1233403 1985478 2466806 3700209 7400418 13567433 27134866 40702299 81404598