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23648625 = 3353721113
BaseRepresentation
bin101101000110…
…1100101110001
31122111110211000
41122031211301
522023224000
62202512213
7405003300
oct132154561
948443730
1023648625
1112392620
127b05669
134b90090
1431d8437
152122000
hex168d971

23648625 has 192 divisors, whose sum is σ = 59754240. Its totient is φ = 9072000.

The previous prime is 23648621. The next prime is 23648641. The reversal of 23648625 is 52684632.

23648625 is a `hidden beast` number, since 2 + 3 + 648 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 23648625 - 22 = 23648621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23648625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23648621) 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 191 ways as a sum of consecutive naturals, for example, 1819119 + ... + 1819131.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 223648625 is an apocalyptic number.

23648625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23648625 is an abundant number, since it is smaller than the sum of its proper divisors (36105615).

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

23648625 is a wasteful number, since it uses less digits than its factorization.

23648625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

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

The square root of 23648625 is about 4862.9851943020. The cubic root of 23648625 is about 287.0352921105.

The spelling of 23648625 in words is "twenty-three million, six hundred forty-eight thousand, six hundred twenty-five".