Search a number
-
+
23426208 = 2532136257
BaseRepresentation
bin101100101011…
…1010010100000
31122002011201100
41121113102200
521444114313
62154034400
7403055661
oct131272240
948064640
1023426208
1112250503
127a18a00
134b12a80
14317b368
1520cb173
hex16574a0

23426208 has 72 divisors (see below), whose sum is σ = 71754228. Its totient is φ = 7206912.

The previous prime is 23426203. The next prime is 23426209. The reversal of 23426208 is 80262432.

23426208 is a `hidden beast` number, since 2 + 34 + 2 + 620 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 501264 = 4788^2 + 708^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23426201) 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 11 ways as a sum of consecutive naturals, for example, 616 + ... + 6872.

Almost surely, 223426208 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 23426208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35877114).

23426208 is an abundant number, since it is smaller than the sum of its proper divisors (48328020).

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

23426208 is a wasteful number, since it uses less digits than its factorization.

23426208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23426208 is about 4840.0628095098. The cubic root of 23426208 is about 286.1325937417.

The spelling of 23426208 in words is "twenty-three million, four hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 6257 12514 18771 25028 37542 50056 56313 75084 81341 100112 112626 150168 162682 200224 225252 244023 300336 325364 450504 488046 600672 650728 732069 901008 976092 1301456 1464138 1802016 1952184 2602912 2928276 3904368 5856552 7808736 11713104 23426208