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23838696 = 23327229233
BaseRepresentation
bin101101011101…
…1111111101000
31122212010112200
41122323333220
522100314241
62210540200
7406424400
oct132737750
948763480
1023838696
1112502402
127b97660
134c2874b
143247800
15215d4b6
hex16bbfe8

23838696 has 144 divisors (see below), whose sum is σ = 78027300. Its totient is φ = 6547968.

The previous prime is 23838691. The next prime is 23838697. The reversal of 23838696 is 69683832.

It can be written as a sum of positive squares in 2 ways, for example, as 23328900 + 509796 = 4830^2 + 714^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (373248) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (23838691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102196 + ... + 102428.

Almost surely, 223838696 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 23838696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39013650).

23838696 is an abundant number, since it is smaller than the sum of its proper divisors (54188604).

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

23838696 is a wasteful number, since it uses less digits than its factorization.

23838696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 23838696 is about 4882.4887096644. The cubic root of 23838696 is about 287.8022369168.

The spelling of 23838696 in words is "twenty-three million, eight hundred thirty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 233 252 261 294 348 392 406 441 466 504 522 588 609 696 699 812 882 932 1044 1176 1218 1398 1421 1624 1631 1764 1827 1864 2088 2097 2436 2796 2842 3262 3528 3654 4194 4263 4872 4893 5592 5684 6524 6757 7308 8388 8526 9786 11368 11417 12789 13048 13514 14616 14679 16776 17052 19572 20271 22834 25578 27028 29358 34104 34251 39144 40542 45668 47299 51156 54056 58716 60813 68502 81084 91336 94598 102312 102753 117432 121626 137004 141897 162168 189196 205506 243252 274008 283794 331093 378392 411012 425691 486504 567588 662186 822024 851382 993279 1135176 1324372 1702764 1986558 2648744 2979837 3405528 3973116 5959674 7946232 11919348 23838696