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23832042 = 23132191237
BaseRepresentation
bin101101011101…
…0010111101010
31122211210102020
41122322113222
522100111132
62210445310
7406366113
oct132722752
948753366
1023832042
11124a8403
127b93836
134c25700
14324520a
15215b52c
hex16ba5ea

23832042 has 48 divisors (see below), whose sum is σ = 54372960. Its totient is φ = 6941376.

The previous prime is 23832013. The next prime is 23832043. The reversal of 23832042 is 24023832.

It is not an unprimeable number, because it can be changed into a prime (23832043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18648 + ... + 19884.

It is an arithmetic number, because the mean of its divisors is an integer number (1132770).

Almost surely, 223832042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23832042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27186480).

23832042 is an abundant number, since it is smaller than the sum of its proper divisors (30540918).

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

23832042 is a wasteful number, since it uses less digits than its factorization.

23832042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23832042 is about 4881.8072473214. The cubic root of 23832042 is about 287.7754567287.

Adding to 23832042 its reverse (24023832), we get a palindrome (47855874).

The spelling of 23832042 in words is "twenty-three million, eight hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1237 1482 2474 3211 3711 6422 7422 9633 16081 19266 23503 32162 47006 48243 70509 96486 141018 209053 305539 418106 611078 627159 916617 1254318 1833234 3972007 7944014 11916021 23832042