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23850 = 2325253
BaseRepresentation
bin101110100101010
31012201100
411310222
51230400
6302230
7126351
oct56452
935640
1023850
1116a12
1211976
13ab18
148998
157100
hex5d2a

23850 has 36 divisors (see below), whose sum is σ = 65286. Its totient is φ = 6240.

The previous prime is 23833. The next prime is 23857. The reversal of 23850 is 5832.

23850 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 19881 + 3969 = 141^2 + 63^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (23857) by changing a digit.

23850 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 424 + ... + 476.

223850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643).

23850 is an abundant number, since it is smaller than the sum of its proper divisors (41436).

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

23850 is a wasteful number, since it uses less digits than its factorization.

23850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23850 is about 154.4344521148. The cubic root of 23850 is about 28.7847720423.

Subtracting from 23850 its sum of digits (18), we obtain a palindrome (23832).

Adding to 23850 its product of nonzero digits (240), we get a triangular number (24090 = T219).

The spelling of 23850 in words is "twenty-three thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1325 1590 2385 2650 3975 4770 7950 11925 23850