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23687689 = 3121572
BaseRepresentation
bin101101001011…
…1001000001001
31122120110101211
41122113020021
522031001224
62203413121
7405225214
oct132271011
948513354
1023687689
1112409a03
127b241a1
134ba4aac
14320877b
15212d894
hex1697209

23687689 has 9 divisors (see below), whose sum is σ = 24633351. Its totient is φ = 22777560.

The previous prime is 23687687. The next prime is 23687701. The reversal of 23687689 is 98678632.

The square root of 23687689 is 4867.

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

It can be written as a sum of positive squares in only one way, i.e., 6943225 + 16744464 = 2635^2 + 4092^2 .

It is not a de Polignac number, because 23687689 - 21 = 23687687 is a prime.

It is a super-2 number, since 2×236876892 = 1122213220321442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23687683) 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 8 ways as a sum of consecutive naturals, for example, 150799 + ... + 150955.

It is an arithmetic number, because the mean of its divisors is an integer number (2737039).

Almost surely, 223687689 is an apocalyptic number.

23687689 is the 4867-th square number.

23687689 is the 2434-th centered octagonal number.

It is an amenable number.

23687689 is a deficient number, since it is larger than the sum of its proper divisors (945662).

23687689 is an frugal number, since it uses more digits than its factorization.

23687689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The cubic root of 23687689 is about 287.1932516590.

Multiplying 23687689 by its sum of digits (49), we get a square (1160696761 = 340692).

The spelling of 23687689 in words is "twenty-three million, six hundred eighty-seven thousand, six hundred eighty-nine".

Divisors: 1 31 157 961 4867 24649 150877 764119 23687689