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23968848 = 2432967257
BaseRepresentation
bin101101101101…
…1110001010000
31200002202002010
41123123301100
522114000343
62213422520
7410506011
oct133336120
950082063
1023968848
1112591172
12803aa40
134c72a67
14327d008
152186d33
hex16dbc50

23968848 has 80 divisors (see below), whose sum is σ = 65263680. Its totient is φ = 7569408.

The previous prime is 23968843. The next prime is 23968849. The reversal of 23968848 is 84886932.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 23968797 and 23968806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23968843) 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, 93136 + ... + 93392.

It is an arithmetic number, because the mean of its divisors is an integer number (815796).

Almost surely, 223968848 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 23968848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32631840).

23968848 is an abundant number, since it is smaller than the sum of its proper divisors (41294832).

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

23968848 is a wasteful number, since it uses less digits than its factorization.

23968848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 23968848 is about 4895.7990154826. The cubic root of 23968848 is about 288.3250573617.

The spelling of 23968848 in words is "twenty-three million, nine hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 67 87 116 134 174 201 232 257 268 348 402 464 514 536 696 771 804 1028 1072 1392 1542 1608 1943 2056 3084 3216 3886 4112 5829 6168 7453 7772 11658 12336 14906 15544 17219 22359 23316 29812 31088 34438 44718 46632 51657 59624 68876 89436 93264 103314 119248 137752 178872 206628 275504 357744 413256 499351 826512 998702 1498053 1997404 2996106 3994808 5992212 7989616 11984424 23968848