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23643088 = 247253569
BaseRepresentation
bin101101000110…
…0001111010000
31122111012012221
41122030033100
522023034323
62202430424
7404651200
oct132141720
948435187
1023643088
1112389447
127b02414
134b8a6c1
1431d6400
15212055d
hex168c3d0

23643088 has 60 divisors (see below), whose sum is σ = 54388260. Its totient is φ = 9924096.

The previous prime is 23643047. The next prime is 23643089. The reversal of 23643088 is 88034632.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 13454224 = 3192^2 + 3668^2 .

It is a super-2 number, since 2×236430882 = 1117991220351488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23643089) 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 11 ways as a sum of consecutive naturals, for example, 41268 + ... + 41836.

It is an arithmetic number, because the mean of its divisors is an integer number (906471).

Almost surely, 223643088 is an apocalyptic number.

23643088 is a gapful number since it is divisible by the number (28) 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 23643088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27194130).

23643088 is an abundant number, since it is smaller than the sum of its proper divisors (30745172).

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

23643088 is a wasteful number, since it uses less digits than its factorization.

23643088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 23643088 is about 4862.4158604546. The cubic root of 23643088 is about 287.0128885745.

The spelling of 23643088 in words is "twenty-three million, six hundred forty-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 569 742 784 848 1138 1484 2276 2597 2968 3983 4552 5194 5936 7966 9104 10388 15932 20776 27881 30157 31864 41552 55762 60314 63728 111524 120628 211099 223048 241256 422198 446096 482512 844396 1477693 1688792 2955386 3377584 5910772 11821544 23643088