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23804128 = 2529113227
BaseRepresentation
bin101101011001…
…1100011100000
31122210101010101
41122303203200
522043213003
62210112144
7406221535
oct132634340
948711111
1023804128
1112489437
127b7b654
134c15aaa
143238d8c
15215311d
hex16b38e0

23804128 has 48 divisors (see below), whose sum is σ = 49124880. Its totient is φ = 11339776.

The previous prime is 23804119. The next prime is 23804147. The reversal of 23804128 is 82140832.

It is a junction number, because it is equal to n+sod(n) for n = 23804096 and 23804105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104751 + ... + 104977.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 223804128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23804128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562440).

23804128 is an abundant number, since it is smaller than the sum of its proper divisors (25320752).

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

23804128 is a wasteful number, since it uses less digits than its factorization.

23804128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 23804128 is about 4878.9474274683. The cubic root of 23804128 is about 287.6630575978.

It can be divided in two parts, 23804 and 128, that added together give a palindrome (23932).

The spelling of 23804128 in words is "twenty-three million, eight hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 113 116 226 227 232 452 454 464 904 908 928 1808 1816 3277 3616 3632 6554 6583 7264 13108 13166 25651 26216 26332 51302 52432 52664 102604 104864 105328 205208 210656 410416 743879 820832 1487758 2975516 5951032 11902064 23804128