Search a number
-
+
95238 = 232111337
BaseRepresentation
bin10111010000000110
311211122100
4113100012
511021423
62012530
7544443
oct272006
9154570
1095238
1165610
1247146
1334470
14269ca
151d343
hex17406

95238 has 48 divisors (see below), whose sum is σ = 248976. Its totient is φ = 25920.

The previous prime is 95233. The next prime is 95239. The reversal of 95238 is 83259.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95231) by changing a digit.

95238 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556 + ... + 2592.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

295238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488).

95238 is an abundant number, since it is smaller than the sum of its proper divisors (153738).

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

95238 is a wasteful number, since it uses less digits than its factorization.

95238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 66 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 95238 is about 308.6065456208. The cubic root of 95238 is about 45.6670988173.

It can be divided in two parts, 952 and 38, that added together give a triangular number (990 = T44).

The spelling of 95238 in words is "ninety-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 37 39 66 74 78 99 111 117 143 198 222 234 286 333 407 429 481 666 814 858 962 1221 1287 1443 2442 2574 2886 3663 4329 5291 7326 8658 10582 15873 31746 47619 95238