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249485312 = 211432833
BaseRepresentation
bin11101101111011…
…01100000000000
3122101110011111202
432313231200000
51002332012222
640431200332
76116406266
oct1667554000
9571404452
10249485312
1111891200a
126b6760a8
133c8c235b
14251c4436
1516d81892
hexeded800

249485312 has 48 divisors (see below), whose sum is σ = 510630120. Its totient is φ = 121798656.

The previous prime is 249485309. The next prime is 249485323. The reversal of 249485312 is 213584942.

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 3 ways as a sum of consecutive naturals, for example, 86648 + ... + 89480.

Almost surely, 2249485312 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 249485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255315060).

249485312 is an abundant number, since it is smaller than the sum of its proper divisors (261144808).

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

249485312 is an equidigital number, since it uses as much as digits as its factorization.

249485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2878 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 249485312 is about 15795.1040515724. The cubic root of 249485312 is about 629.5279171038.

The spelling of 249485312 in words is "two hundred forty-nine million, four hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2048 2752 2833 5504 5666 11008 11332 22016 22664 44032 45328 88064 90656 121819 181312 243638 362624 487276 725248 974552 1450496 1949104 2900992 3898208 5801984 7796416 15592832 31185664 62371328 124742656 249485312