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23804641 = 72172412
BaseRepresentation
bin101101011001…
…1101011100001
31122210101211101
41122303223201
522043222031
62210114401
7406223200
oct132635341
948711741
1023804641
1112489863
127b7ba01
134c160b3
143239237
152153361
hex16b3ae1

23804641 has 27 divisors (see below), whose sum is σ = 30150777. Its totient is φ = 18735360.

The previous prime is 23804623. The next prime is 23804659. The reversal of 23804641 is 14640832.

The square root of 23804641 is 4879.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (23804623) and next prime (23804659).

It can be written as a sum of positive squares in 4 ways, for example, as 1677025 + 22127616 = 1295^2 + 4704^2 .

It is not a de Polignac number, because 23804641 - 213 = 23796449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23804441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 580581 + ... + 580621.

Almost surely, 223804641 is an apocalyptic number.

23804641 is the 4879-th square number.

23804641 is the 2440-th centered octagonal number.

It is an amenable number.

23804641 is a deficient number, since it is larger than the sum of its proper divisors (6346136).

23804641 is an equidigital number, since it uses as much as digits as its factorization.

23804641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The cubic root of 23804641 is about 287.6651240473.

It can be divided in two parts, 2380 and 4641, that added together give a triangular number (7021 = T118).

The spelling of 23804641 in words is "twenty-three million, eight hundred four thousand, six hundred forty-one".

Divisors: 1 7 17 41 49 119 287 289 697 833 1681 2009 2023 4879 11767 11849 14161 28577 34153 82369 82943 200039 485809 580601 1400273 3400663 23804641