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248923828 = 22534212789
BaseRepresentation
bin11101101011001…
…00011010110100
3122100101122022001
432311210122310
51002211030303
640411145044
76111550306
oct1665443264
9570348261
10248923828
1111856917a
126b445184
133c75690a
14250b9976
1516cc031d
hexed646b4

248923828 has 24 divisors (see below), whose sum is σ = 445049640. Its totient is φ = 121779840.

The previous prime is 248923819. The next prime is 248923847. The reversal of 248923828 is 828329842.

It is a happy number.

248923828 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

248923828 is a nontrivial binomial coefficient, being equal to C(22313, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 237714724 = 3348^2 + 15418^2 .

248923828 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87858 + ... + 90646.

It is an arithmetic number, because the mean of its divisors is an integer number (18543735).

Almost surely, 2248923828 is an apocalyptic number.

248923828 is the 22312-nd triangular number.

248923828 is the 7438-th centered nonagonal number.

It is an amenable number.

248923828 is a deficient number, since it is larger than the sum of its proper divisors (196125812).

248923828 is a wasteful number, since it uses less digits than its factorization.

248923828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3265 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 248923828 is about 15777.3200512635. The cubic root of 248923828 is about 629.0552969568.

The spelling of 248923828 in words is "two hundred forty-eight million, nine hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 53 106 212 421 842 1684 2789 5578 11156 22313 44626 89252 147817 295634 591268 1174169 2348338 4696676 62230957 124461914 248923828