Search a number
-
+
23842656 = 253282787
BaseRepresentation
bin101101011110…
…0111101100000
31122212022222100
41122330331200
522100431111
62211010400
7406442055
oct132747540
948768870
1023842656
1112505382
127b99a00
134c2a4a6
14324902c
15215e756
hex16bcf60

23842656 has 36 divisors (see below), whose sum is σ = 67803372. Its totient is φ = 7947456.

The previous prime is 23842649. The next prime is 23842681. The reversal of 23842656 is 65624832.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23842656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41106 + ... + 41681.

It is an arithmetic number, because the mean of its divisors is an integer number (1883427).

Almost surely, 223842656 is an apocalyptic number.

It is an amenable number.

23842656 is an abundant number, since it is smaller than the sum of its proper divisors (43960716).

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

23842656 is a wasteful number, since it uses less digits than its factorization.

23842656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82803 (or 82792 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 23842656 is about 4882.8942237161. The cubic root of 23842656 is about 287.8181722649.

The spelling of 23842656 in words is "twenty-three million, eight hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 82787 165574 248361 331148 496722 662296 745083 993444 1324592 1490166 1986888 2649184 2980332 3973776 5960664 7947552 11921328 23842656