Search a number
-
+
23540048 = 247673137
BaseRepresentation
bin101100111001…
…1000101010000
31122021221212122
41121303011100
522011240143
62200313412
7404041610
oct131630520
948257778
1023540048
1112318a94
127a72868
134b5282c
1431aaa40
1520eec68
hex1673150

23540048 has 40 divisors (see below), whose sum is σ = 52919232. Its totient is φ = 9934848.

The previous prime is 23540039. The next prime is 23540059. The reversal of 23540048 is 84004532.

It is a junction number, because it is equal to n+sod(n) for n = 23539999 and 23540026.

It is a congruent number.

It is an unprimeable number.

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, 5936 + ... + 9072.

Almost surely, 223540048 is an apocalyptic number.

23540048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23540048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26459616).

23540048 is an abundant number, since it is smaller than the sum of its proper divisors (29379184).

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

23540048 is a wasteful number, since it uses less digits than its factorization.

23540048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 23540048 is about 4851.8087348946. The cubic root of 23540048 is about 286.5953334921.

The spelling of 23540048 in words is "twenty-three million, five hundred forty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3137 3752 6274 7504 12548 21959 25096 43918 50192 87836 175672 210179 351344 420358 840716 1471253 1681432 2942506 3362864 5885012 11770024 23540048