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23053152 = 253415857
BaseRepresentation
bin101011111110…
…0001101100000
31121101012222110
41113330031200
521400200102
62142035320
7366643233
oct127741540
947335873
1023053152
11120161a1
127878b40
134a12025
1430c141a
15205586c
hex15fc360

23053152 has 48 divisors (see below), whose sum is σ = 62001072. Its totient is φ = 7495680.

The previous prime is 23053141. The next prime is 23053169. The reversal of 23053152 is 25135032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008 + ... + 6864.

It is an arithmetic number, because the mean of its divisors is an integer number (1291689).

Almost surely, 223053152 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 23053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31000536).

23053152 is an abundant number, since it is smaller than the sum of its proper divisors (38947920).

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

23053152 is a wasteful number, since it uses less digits than its factorization.

23053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 23053152 is about 4801.3698045454. The cubic root of 23053152 is about 284.6055978804.

Adding to 23053152 its reverse (25135032), we get a palindrome (48188184).

The spelling of 23053152 in words is "twenty-three million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 5857 11714 17571 23428 35142 46856 70284 93712 140568 187424 240137 281136 480274 562272 720411 960548 1440822 1921096 2881644 3842192 5763288 7684384 11526576 23053152