Search a number
-
+
82494918 = 232113731117
BaseRepresentation
bin1001110101011…
…00010111000110
312202020011202100
410322230113012
5132104314133
612104052530
72021123652
oct472542706
9182204670
1082494918
1142625720
1223764146
1314124b7c
14ad55a62
157397e13
hex4eac5c6

82494918 has 48 divisors (see below), whose sum is σ = 195685776. Its totient is φ = 24909120.

The previous prime is 82494899. The next prime is 82494943. The reversal of 82494918 is 81949428.

It is a super-2 number, since 2×824949182 = 13610822991653448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73296 + ... + 74412.

It is an arithmetic number, because the mean of its divisors is an integer number (4076787).

Almost surely, 282494918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82494918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97842888).

82494918 is an abundant number, since it is smaller than the sum of its proper divisors (113190858).

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

82494918 is a wasteful number, since it uses less digits than its factorization.

82494918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1506 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 82494918 is about 9082.6713030914. The cubic root of 82494918 is about 435.3204456118.

Subtracting from 82494918 its reverse (81949428), we obtain a triangular number (545490 = T1044).

The spelling of 82494918 in words is "eighty-two million, four hundred ninety-four thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 373 746 1117 1119 2234 2238 3351 3357 4103 6702 6714 8206 10053 12287 12309 20106 24574 24618 36861 36927 73722 73854 110583 221166 416641 833282 1249923 2499846 3749769 4583051 7499538 9166102 13749153 27498306 41247459 82494918