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23648769 = 3216212
BaseRepresentation
bin101101000110…
…1101000000001
31122111111000100
41122031220001
522023230034
62202513013
7405003564
oct132155001
948444010
1023648769
1112392741
127b05769
134b90171
1431d84db
152122099
hex168da01

23648769 has 9 divisors (see below), whose sum is σ = 34180419. Its totient is φ = 15756120.

The previous prime is 23648767. The next prime is 23648771. The reversal of 23648769 is 96784632.

The square root of 23648769 is 4863.

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 (23648767) and next prime (23648771).

It can be written as a sum of positive squares in only one way, i.e., 18173169 + 5475600 = 4263^2 + 2340^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 23648769 - 21 = 23648767 is a prime.

It is a super-2 number, since 2×236487692 = 1118528550430722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23648767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13779 + ... + 15399.

Almost surely, 223648769 is an apocalyptic number.

23648769 is the 4863-rd square number.

23648769 is the 2432-nd centered octagonal number.

It is an amenable number.

23648769 is a deficient number, since it is larger than the sum of its proper divisors (10531650).

23648769 is an frugal number, since it uses more digits than its factorization.

23648769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 1624 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The cubic root of 23648769 is about 287.0358747095.

The spelling of 23648769 in words is "twenty-three million, six hundred forty-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 9 1621 4863 14589 2627641 7882923 23648769