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23825032 = 2371138677
BaseRepresentation
bin101101011100…
…0101010001000
31122211102210121
41122320222020
522044400112
62210353024
7406336510
oct132705210
948742717
1023825032
11124a3110
127b8b774
134c2246a
143242840
152159407
hex16b8a88

23825032 has 32 divisors (see below), whose sum is σ = 55696320. Its totient is φ = 9282240.

The previous prime is 23824963. The next prime is 23825051. The reversal of 23825032 is 23052832.

It is a junction number, because it is equal to n+sod(n) for n = 23824988 and 23825006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18723 + ... + 19954.

It is an arithmetic number, because the mean of its divisors is an integer number (1740510).

Almost surely, 223825032 is an apocalyptic number.

23825032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23825032 is an abundant number, since it is smaller than the sum of its proper divisors (31871288).

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

23825032 is a wasteful number, since it uses less digits than its factorization.

23825032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38701 (or 38697 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 23825032 is about 4881.0892227043. The cubic root of 23825032 is about 287.7472383638.

Adding to 23825032 its reverse (23052832), we get a palindrome (46877864).

The spelling of 23825032 in words is "twenty-three million, eight hundred twenty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 38677 77354 154708 270739 309416 425447 541478 850894 1082956 1701788 2165912 2978129 3403576 5956258 11912516 23825032