Search a number
-
+
95418 = 2341931
BaseRepresentation
bin10111010010111010
311211220000
4113102322
511023133
62013430
7545121
oct272272
9154800
1095418
1165764
1247276
133457b
1426ab8
151d413
hex174ba

95418 has 40 divisors (see below), whose sum is σ = 232320. Its totient is φ = 29160.

The previous prime is 95413. The next prime is 95419. The reversal of 95418 is 81459.

95418 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 95391 and 95400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95418.

It is not an unprimeable number, because it can be changed into a prime (95413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3063 + ... + 3093.

It is an arithmetic number, because the mean of its divisors is an integer number (5808).

295418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116160).

95418 is an abundant number, since it is smaller than the sum of its proper divisors (136902).

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

95418 is a wasteful number, since it uses less digits than its factorization.

95418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 95418 is about 308.8980414311. The cubic root of 95418 is about 45.6958510120.

The spelling of 95418 in words is "ninety-five thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 279 342 513 558 589 837 1026 1178 1539 1674 1767 2511 3078 3534 5022 5301 10602 15903 31806 47709 95418