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23835042 = 23271129593
BaseRepresentation
bin101101011101…
…1000110100010
31122211221112100
41122323012202
522100210132
62210511230
7406410630
oct132730642
948757470
1023835042
11124aa690
127b95516
134c26b9a
143246350
15215c37c
hex16bb1a2

23835042 has 96 divisors (see below), whose sum is σ = 66718080. Its totient is φ = 5967360.

The previous prime is 23835041. The next prime is 23835113. The reversal of 23835042 is 24053832.

It is a junction number, because it is equal to n+sod(n) for n = 23834997 and 23835015.

It is not an unprimeable number, because it can be changed into a prime (23835041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39898 + ... + 40490.

It is an arithmetic number, because the mean of its divisors is an integer number (694980).

Almost surely, 223835042 is an apocalyptic number.

23835042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23835042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33359040).

23835042 is an abundant number, since it is smaller than the sum of its proper divisors (42883038).

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

23835042 is a wasteful number, since it uses less digits than its factorization.

23835042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23835042 is about 4882.1145009104. The cubic root of 23835042 is about 287.7875313710.

Adding to 23835042 its reverse (24053832), we get a palindrome (47888874).

The spelling of 23835042 in words is "twenty-three million, eight hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 593 609 638 693 957 1186 1218 1386 1779 1827 1914 2233 2871 3558 3654 4151 4466 5337 5742 6523 6699 8302 10674 12453 13046 13398 17197 19569 20097 24906 34394 37359 39138 40194 45661 51591 58707 74718 91322 103182 117414 120379 136983 154773 189167 240758 273966 309546 361137 378334 410949 567501 722274 821898 1083411 1135002 1324169 1702503 2166822 2648338 3405006 3972507 7945014 11917521 23835042