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23869296 = 2433115023
BaseRepresentation
bin101101100001…
…1011101110000
31122220200112000
41123003131300
522102304141
62211334000
7406612533
oct133033560
948820460
1023869296
11125233a0
127bb1300
134c39659
143254a1a
1521675b6
hex16c3770

23869296 has 80 divisors (see below), whose sum is σ = 74757120. Its totient is φ = 7231680.

The previous prime is 23869273. The next prime is 23869303. The reversal of 23869296 is 69296832.

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

It is a congruent number.

It is an unprimeable number.

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, 2241 + ... + 7263.

It is an arithmetic number, because the mean of its divisors is an integer number (934464).

Almost surely, 223869296 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 23869296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37378560).

23869296 is an abundant number, since it is smaller than the sum of its proper divisors (50887824).

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

23869296 is a wasteful number, since it uses less digits than its factorization.

23869296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5039 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 23869296 is about 4885.6213524996. The cubic root of 23869296 is about 287.9253278630.

The spelling of 23869296 in words is "twenty-three million, eight hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 5023 10046 15069 20092 30138 40184 45207 55253 60276 80368 90414 110506 120552 135621 165759 180828 221012 241104 271242 331518 361656 442024 497277 542484 663036 723312 884048 994554 1084968 1326072 1491831 1989108 2169936 2652144 2983662 3978216 5967324 7956432 11934648 23869296