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23891296 = 25111323227
BaseRepresentation
bin101101100100…
…0110101100000
31122221210200211
41123020311200
522104010141
62212023504
7410033632
oct133106540
948853624
1023891296
1112538980
128001b94
134c46680
14325ca52
15216dd81
hex16c8d60

23891296 has 96 divisors (see below), whose sum is σ = 57915648. Its totient is φ = 9546240.

The previous prime is 23891291. The next prime is 23891299. The reversal of 23891296 is 69219832.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23891291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105135 + ... + 105361.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 223891296 is an apocalyptic number.

23891296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23891296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824).

23891296 is an abundant number, since it is smaller than the sum of its proper divisors (34024352).

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

23891296 is a wasteful number, since it uses less digits than its factorization.

23891296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 23891296 is about 4887.8723387585. The cubic root of 23891296 is about 288.0137596307.

The spelling of 23891296 in words is "twenty-three million, eight hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 143 176 184 208 227 253 286 299 352 368 416 454 506 572 598 736 908 1012 1144 1196 1816 2024 2288 2392 2497 2951 3289 3632 4048 4576 4784 4994 5221 5902 6578 7264 8096 9568 9988 10442 11804 13156 19976 20884 23608 26312 32461 39952 41768 47216 52624 57431 64922 67873 79904 83536 94432 105248 114862 129844 135746 167072 229724 259688 271492 459448 519376 542984 746603 918896 1038752 1085968 1493206 1837792 2171936 2986412 5972824 11945648 23891296