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23918848 = 28233401
BaseRepresentation
bin101101100111…
…1100100000000
31200000012111021
41123033210000
522110400343
62212355224
7410210152
oct133174400
950005437
1023918848
1112557648
128015b14
134c56085
143268ad2
1521770ed
hex16cf900

23918848 has 36 divisors (see below), whose sum is σ = 48068748. Its totient is φ = 11878400.

The previous prime is 23918837. The next prime is 23918861. The reversal of 23918848 is 84881932.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 7661824 = 4032^2 + 2768^2 .

It is a super-2 number, since 2×239188482 = 1144222579294208, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 59448 + ... + 59848.

It is an arithmetic number, because the mean of its divisors is an integer number (1335243).

Almost surely, 223918848 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 23918848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24034374).

23918848 is an abundant number, since it is smaller than the sum of its proper divisors (24149900).

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

23918848 is an equidigital number, since it uses as much as digits as its factorization.

23918848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 636 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 23918848 is about 4890.6899308789. The cubic root of 23918848 is about 288.1244318276.

The spelling of 23918848 in words is "twenty-three million, nine hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 233 256 401 466 802 932 1604 1864 3208 3728 6416 7456 12832 14912 25664 29824 51328 59648 93433 102656 186866 373732 747464 1494928 2989856 5979712 11959424 23918848