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23052768 = 253439547
BaseRepresentation
bin101011111110…
…0000111100000
31121101012110020
41113330013200
521400142033
62142033440
7366642144
oct127740740
947335406
1023052768
1112015982
127878880
134a11abb
1430c1224
1520556b3
hex15fc1e0

23052768 has 48 divisors (see below), whose sum is σ = 60762240. Its totient is φ = 7652736.

The previous prime is 23052761. The next prime is 23052779. The reversal of 23052768 is 86725032.

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

It is a super-2 number, since 2×230527682 = 1062860224923648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23052761) by changing a digit.

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, 41871 + ... + 42417.

It is an arithmetic number, because the mean of its divisors is an integer number (1265880).

Almost surely, 223052768 is an apocalyptic number.

It is an amenable number.

23052768 is an abundant number, since it is smaller than the sum of its proper divisors (37709472).

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

23052768 is a wasteful number, since it uses less digits than its factorization.

23052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 23052768 is about 4801.3298157906. The cubic root of 23052768 is about 284.6040176315.

The spelling of 23052768 in words is "twenty-three million, fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 439 547 878 1094 1317 1641 1756 2188 2634 3282 3512 4376 5268 6564 7024 8752 10536 13128 14048 17504 21072 26256 42144 52512 240133 480266 720399 960532 1440798 1921064 2881596 3842128 5763192 7684256 11526384 23052768