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23772864 = 263123817
BaseRepresentation
bin101101010101…
…1111011000000
31122201210020110
41122223323000
522041212424
62205311320
7406031433
oct132537300
948653213
1023772864
11124679a5
127b65540
134c047ab
14322b81a
152148c29
hex16abec0

23772864 has 28 divisors (see below), whose sum is σ = 62899544. Its totient is φ = 7924224.

The previous prime is 23772863. The next prime is 23772871. The reversal of 23772864 is 46827732.

It is not an unprimeable number, because it can be changed into a prime (23772863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61717 + ... + 62100.

Almost surely, 223772864 is an apocalyptic number.

23772864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23772864 is an abundant number, since it is smaller than the sum of its proper divisors (39126680).

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

23772864 is a wasteful number, since it uses less digits than its factorization.

23772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123832 (or 123822 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 23772864 is about 4875.7424050087. The cubic root of 23772864 is about 287.5370649126.

It can be divided in two parts, 2377286 and 4, that added together give a triangular number (2377290 = T2180).

The spelling of 23772864 in words is "twenty-three million, seven hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 123817 247634 371451 495268 742902 990536 1485804 1981072 2971608 3962144 5943216 7924288 11886432 23772864