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249125248 = 275633457
BaseRepresentation
bin11101101100101…
…01100110000000
3122100202212121001
432312111212000
51002234001443
640415341344
76113346451
oct1666254600
9570685531
10249125248
11118696539
126b521854
133c7c74b8
142512d128
1516d0ed4d
hexed95980

249125248 has 32 divisors (see below), whose sum is σ = 497329560. Its totient is φ = 124305408.

The previous prime is 249125243. The next prime is 249125257. The reversal of 249125248 is 842521942.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249125243) 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 3 ways as a sum of consecutive naturals, for example, 70336 + ... + 73792.

Almost surely, 2249125248 is an apocalyptic number.

It is an amenable number.

249125248 is a deficient number, since it is larger than the sum of its proper divisors (248204312).

249125248 is an equidigital number, since it uses as much as digits as its factorization.

249125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4022 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 249125248 is about 15783.7019738717. The cubic root of 249125248 is about 629.2249206786.

The spelling of 249125248 in words is "two hundred forty-nine million, one hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 563 1126 2252 3457 4504 6914 9008 13828 18016 27656 36032 55312 72064 110624 221248 442496 1946291 3892582 7785164 15570328 31140656 62281312 124562624 249125248