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249925312 = 2671323301
BaseRepresentation
bin11101110010110…
…00111011000000
3122102021112002001
432321120323000
51002440102222
640444433344
76123221140
oct1671307300
9572245061
10249925312
1111909264a
126b848854
133ca17700
142529a920
1516e1be27
hexee58ec0

249925312 has 84 divisors (see below), whose sum is σ = 613934256. Its totient is φ = 98841600.

The previous prime is 249925309. The next prime is 249925321. The reversal of 249925312 is 213529942.

249925312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74062 + ... + 77362.

Almost surely, 2249925312 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 249925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306967128).

249925312 is an abundant number, since it is smaller than the sum of its proper divisors (364008944).

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

249925312 is a wasteful number, since it uses less digits than its factorization.

249925312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3323 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 249925312 is about 15809.0262824755. The cubic root of 249925312 is about 629.8977847102.

The spelling of 249925312 in words is "two hundred forty-nine million, nine hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 338 364 416 448 676 728 832 1183 1352 1456 2366 2704 2912 3301 4732 5408 5824 6602 9464 10816 13204 18928 23107 26408 37856 42913 46214 52816 75712 85826 92428 105632 171652 184856 211264 300391 343304 369712 557869 600782 686608 739424 1115738 1201564 1373216 1478848 2231476 2403128 2746432 3905083 4462952 4806256 7810166 8925904 9612512 15620332 17851808 19225024 31240664 35703616 62481328 124962656 249925312