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23239008 = 2533132069
BaseRepresentation
bin101100010100…
…1100101100000
31121201122221000
41120221211200
521422122013
62150032000
7401346132
oct130514540
947648830
1023239008
11121328a1
127948600
134a787c0
14312d052
152090973
hex1629960

23239008 has 96 divisors (see below), whose sum is σ = 73029600. Its totient is φ = 7147008.

The previous prime is 23239003. The next prime is 23239031. The reversal of 23239008 is 80093232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23239001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10198 + ... + 12266.

It is an arithmetic number, because the mean of its divisors is an integer number (760725).

Almost surely, 223239008 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 23239008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36514800).

23239008 is an abundant number, since it is smaller than the sum of its proper divisors (49790592).

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

23239008 is a wasteful number, since it uses less digits than its factorization.

23239008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23239008 is about 4820.6854284427. The cubic root of 23239008 is about 285.3683878866.

The spelling of 23239008 in words is "twenty-three million, two hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2069 2808 3744 4138 5616 6207 8276 11232 12414 16552 18621 24828 26897 33104 37242 49656 53794 55863 66208 74484 80691 99312 107588 111726 148968 161382 198624 215176 223452 242073 297936 322764 430352 446904 484146 595872 645528 726219 860704 893808 968292 1291056 1452438 1787616 1936584 2582112 2904876 3873168 5809752 7746336 11619504 23239008