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23968392 = 2337236203
BaseRepresentation
bin101101101101…
…1101010001000
31200002201110020
41123123222020
522113442032
62213420440
7410504460
oct133335210
950081406
1023968392
1112590898
12803a720
134c727a6
14327cba0
152186b2c
hex16dba88

23968392 has 64 divisors (see below), whose sum is σ = 71470080. Its totient is φ = 6549312.

The previous prime is 23968391. The next prime is 23968421. The reversal of 23968392 is 29386932.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23968391) by changing a digit.

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, 763 + ... + 6965.

It is an arithmetic number, because the mean of its divisors is an integer number (1116720).

Almost surely, 223968392 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 23968392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35735040).

23968392 is an abundant number, since it is smaller than the sum of its proper divisors (47501688).

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

23968392 is a wasteful number, since it uses less digits than its factorization.

23968392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6238 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 23968392 is about 4895.7524447219. The cubic root of 23968392 is about 288.3232289181.

The spelling of 23968392 in words is "twenty-three million, nine hundred sixty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 6203 12406 18609 24812 37218 43421 49624 74436 86842 130263 142669 148872 173684 260526 285338 347368 428007 521052 570676 856014 998683 1042104 1141352 1712028 1997366 2996049 3424056 3994732 5992098 7989464 11984196 23968392