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23257768 = 2317295897
BaseRepresentation
bin101100010111…
…0001010101000
31121202121122211
41120232022220
521423222033
62150254504
7401454622
oct130561250
947677584
1023257768
11121459a6
127957434
134a841c1
143135c12
1520962cd
hex162e2a8

23257768 has 32 divisors (see below), whose sum is σ = 47773800. Its totient is φ = 10565632.

The previous prime is 23257763. The next prime is 23257769. The reversal of 23257768 is 86775232.

It can be written as a sum of positive squares in 4 ways, for example, as 23251684 + 6084 = 4822^2 + 78^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23257768.

It is not an unprimeable number, because it can be changed into a prime (23257763) 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 7 ways as a sum of consecutive naturals, for example, 996 + ... + 6892.

Almost surely, 223257768 is an apocalyptic number.

It is an amenable number.

23257768 is an abundant number, since it is smaller than the sum of its proper divisors (24516032).

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

23257768 is a wasteful number, since it uses less digits than its factorization.

23257768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5945 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 23257768 is about 4822.6308173029. The cubic root of 23257768 is about 285.4451563820.

It can be divided in two parts, 23257 and 768, that added together give a square (24025 = 1552).

The spelling of 23257768 in words is "twenty-three million, two hundred fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 493 986 1972 3944 5897 11794 23588 47176 100249 171013 200498 342026 400996 684052 801992 1368104 2907221 5814442 11628884 23257768