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23852768 = 2517163269
BaseRepresentation
bin101101011111…
…1011011100000
31122212211211212
41122333123200
522101242033
62211125252
7406513412
oct132773340
948784755
1023852768
1112511a35
127ba3828
134c31c84
14324c9b2
152162748
hex16bf6e0

23852768 has 48 divisors (see below), whose sum is σ = 50213520. Its totient is φ = 11114496.

The previous prime is 23852743. The next prime is 23852813. The reversal of 23852768 is 86725832.

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, 88538 + ... + 88806.

It is an arithmetic number, because the mean of its divisors is an integer number (1046115).

Almost surely, 223852768 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 23852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25106760).

23852768 is an abundant number, since it is smaller than the sum of its proper divisors (26360752).

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

23852768 is a wasteful number, since it uses less digits than its factorization.

23852768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 23852768 is about 4883.9295654217. The cubic root of 23852768 is about 287.8588557358.

The spelling of 23852768 in words is "twenty-three million, eight hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 163 269 272 326 538 544 652 1076 1304 2152 2608 2771 4304 4573 5216 5542 8608 9146 11084 18292 22168 36584 43847 44336 73168 87694 88672 146336 175388 350776 701552 745399 1403104 1490798 2981596 5963192 11926384 23852768