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245989248 = 2731135669
BaseRepresentation
bin11101010100101…
…11111110000000
3122010212112210220
432222113332000
51000433123443
640224223040
76044605551
oct1652277600
9563775726
10245989248
111169443aa
126a46aa80
133bc69c8b
1424954328
15168e0a83
hexea97f80

245989248 has 64 divisors (see below), whose sum is σ = 659307600. Its totient is φ = 81256448.

The previous prime is 245989213. The next prime is 245989259. The reversal of 245989248 is 842989542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 245989248.

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, 40558 + ... + 46226.

Almost surely, 2245989248 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 245989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329653800).

245989248 is an abundant number, since it is smaller than the sum of its proper divisors (413318352).

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

245989248 is a wasteful number, since it uses less digits than its factorization.

245989248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799 (or 5787 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 245989248 is about 15684.0443763718. The cubic root of 245989248 is about 626.5735267239.

The spelling of 245989248 in words is "two hundred forty-five million, nine hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2712 3616 5424 5669 7232 10848 11338 14464 17007 21696 22676 34014 43392 45352 68028 90704 136056 181408 272112 362816 544224 640597 725632 1088448 1281194 1921791 2176896 2562388 3843582 5124776 7687164 10249552 15374328 20499104 30748656 40998208 61497312 81996416 122994624 245989248