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23048208 = 2432236959
BaseRepresentation
bin101011111101…
…1000000010000
31121100222012100
41113323000100
521400020313
62142000400
7366622641
oct127730020
947328170
1023048208
1112012507
127876100
134a0c9c1
1430bd6c8
152054173
hex15fb010

23048208 has 60 divisors (see below), whose sum is σ = 67317120. Its totient is φ = 7347648.

The previous prime is 23048203. The next prime is 23048227. The reversal of 23048208 is 80284032.

It is a super-2 number, since 2×230482082 = 1062439784022528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23048203) 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, 168 + ... + 6791.

It is an arithmetic number, because the mean of its divisors is an integer number (1121952).

Almost surely, 223048208 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 23048208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33658560).

23048208 is an abundant number, since it is smaller than the sum of its proper divisors (44268912).

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

23048208 is a wasteful number, since it uses less digits than its factorization.

23048208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23048208 is about 4800.8549238651. The cubic root of 23048208 is about 284.5852508338.

The spelling of 23048208 in words is "twenty-three million, forty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 6959 13918 20877 27836 41754 55672 62631 83508 111344 125262 160057 167016 250524 320114 334032 480171 501048 640228 960342 1002096 1280456 1440513 1920684 2560912 2881026 3841368 5762052 7682736 11524104 23048208