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23825136 = 2436179103
BaseRepresentation
bin101101011100…
…0101011110000
31122211102221110
41122320223300
522044401021
62210353320
7406340016
oct132705360
948742843
1023825136
11124a31a5
127b8b840
134c2251a
1432428b6
152159476
hex16b8af0

23825136 has 80 divisors (see below), whose sum is σ = 63964160. Its totient is φ = 7637760.

The previous prime is 23825129. The next prime is 23825159. The reversal of 23825136 is 63152832.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231261 + ... + 231363.

It is an arithmetic number, because the mean of its divisors is an integer number (799552).

Almost surely, 223825136 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 23825136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31982080).

23825136 is an abundant number, since it is smaller than the sum of its proper divisors (40139024).

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

23825136 is a wasteful number, since it uses less digits than its factorization.

23825136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 23825136 is about 4881.0998760525. The cubic root of 23825136 is about 287.7476570504.

Adding to 23825136 its reverse (63152832), we get a palindrome (86977968).

The spelling of 23825136 in words is "twenty-three million, eight hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 79 103 122 158 183 206 237 244 309 316 366 412 474 488 618 632 732 824 948 976 1236 1264 1464 1648 1896 2472 2928 3792 4819 4944 6283 8137 9638 12566 14457 16274 18849 19276 24411 25132 28914 32548 37698 38552 48822 50264 57828 65096 75396 77104 97644 100528 115656 130192 150792 195288 231312 301584 390576 496357 992714 1489071 1985428 2978142 3970856 5956284 7941712 11912568 23825136