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23112648 = 2333138231
BaseRepresentation
bin101100000101…
…0101111001000
31121111020121000
41120022233020
521404101043
62143215000
7400311546
oct130125710
947436530
1023112648
1112056969
1278a7460
134a33130
1430d8d96
1520682d3
hex160abc8

23112648 has 64 divisors (see below), whose sum is σ = 69148800. Its totient is φ = 7110720.

The previous prime is 23112647. The next prime is 23112667. The reversal of 23112648 is 84621132.

23112648 is a `hidden beast` number, since 2 + 3 + 1 + 12 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23112641) 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 15 ways as a sum of consecutive naturals, for example, 1308 + ... + 6923.

It is an arithmetic number, because the mean of its divisors is an integer number (1080450).

Almost surely, 223112648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23112648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34574400).

23112648 is an abundant number, since it is smaller than the sum of its proper divisors (46036152).

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

23112648 is a wasteful number, since it uses less digits than its factorization.

23112648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8249 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 23112648 is about 4807.5615440678. The cubic root of 23112648 is about 284.8502260133.

The spelling of 23112648 in words is "twenty-three million, one hundred twelve thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 8231 16462 24693 32924 49386 65848 74079 98772 107003 148158 197544 214006 222237 296316 321009 428012 444474 592632 642018 856024 888948 963027 1284036 1777896 1926054 2568072 2889081 3852108 5778162 7704216 11556324 23112648