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23883008 = 28293217
BaseRepresentation
bin101101100011…
…0110100000000
31122221101022212
41123012310000
522103224013
62211521252
7410000522
oct133066400
948841285
1023883008
1112532726
127bb9228
134c42976
143259a12
15216b6a8
hex16c6d00

23883008 has 36 divisors (see below), whose sum is σ = 49331940. Its totient is φ = 11526144.

The previous prime is 23883007. The next prime is 23883047. The reversal of 23883008 is 80038832.

It can be written as a sum of positive squares in 2 ways, for example, as 17572864 + 6310144 = 4192^2 + 2512^2 .

It is a super-2 number, since 2×238830082 = 1140796142256128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23883007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5816 + ... + 9032.

Almost surely, 223883008 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 23883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24665970).

23883008 is an abundant number, since it is smaller than the sum of its proper divisors (25448932).

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

23883008 is an equidigital number, since it uses as much as digits as its factorization.

23883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 23883008 is about 4887.0244525682. The cubic root of 23883008 is about 287.9804513480.

The spelling of 23883008 in words is "twenty-three million, eight hundred eighty-three thousand, eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3217 3712 6434 7424 12868 25736 51472 93293 102944 186586 205888 373172 411776 746344 823552 1492688 2985376 5970752 11941504 23883008