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23426568 = 23321122689
BaseRepresentation
bin101100101011…
…1011000001000
31122002012012200
41121113120020
521444122233
62154040200
7403060014
oct131273010
948065180
1023426568
1112250800
127a19060
134b12c99
14317b544
1520cb313
hex1657608

23426568 has 72 divisors (see below), whose sum is σ = 69765150. Its totient is φ = 7096320.

The previous prime is 23426549. The next prime is 23426569. The reversal of 23426568 is 86562432.

It can be written as a sum of positive squares in only one way, i.e., 23213124 + 213444 = 4818^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (23426569) 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 17 ways as a sum of consecutive naturals, for example, 7368 + ... + 10056.

Almost surely, 223426568 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 23426568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34882575).

23426568 is an abundant number, since it is smaller than the sum of its proper divisors (46338582).

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

23426568 is a wasteful number, since it uses less digits than its factorization.

23426568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2705 counting only the distinct ones).

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

The square root of 23426568 is about 4840.0999989670. The cubic root of 23426568 is about 286.1340594392.

The spelling of 23426568 in words is "twenty-three million, four hundred twenty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2689 2904 4356 5378 8067 8712 10756 16134 21512 24201 29579 32268 48402 59158 64536 88737 96804 118316 177474 193608 236632 266211 325369 354948 532422 650738 709896 976107 1064844 1301476 1952214 2129688 2602952 2928321 3904428 5856642 7808856 11713284 23426568