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248985696 = 25347139397
BaseRepresentation
bin11101101011100…
…11100001100000
3122100111210011110
432311303201200
51002220020241
640412343320
76112225551
oct1665634140
9570453143
10248985696
11118600703
126b474b40
133c778b1b
14250d4328
1516cd3816
hexed73860

248985696 has 96 divisors (see below), whose sum is σ = 673989120. Its totient is φ = 80441856.

The previous prime is 248985673. The next prime is 248985701. The reversal of 248985696 is 696589842.

248985696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626970 + ... + 627366.

It is an arithmetic number, because the mean of its divisors is an integer number (7020720).

Almost surely, 2248985696 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 248985696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336994560).

248985696 is an abundant number, since it is smaller than the sum of its proper divisors (425003424).

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

248985696 is a wasteful number, since it uses less digits than its factorization.

248985696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 248985696 is about 15779.2805919662. The cubic root of 248985696 is about 629.1074081717.

The spelling of 248985696 in words is "two hundred forty-eight million, nine hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 139 141 188 278 282 376 397 417 556 564 752 794 834 1112 1128 1191 1504 1588 1668 2224 2256 2382 3176 3336 4448 4512 4764 6352 6533 6672 9528 12704 13066 13344 18659 19056 19599 26132 37318 38112 39198 52264 55183 55977 74636 78396 104528 110366 111954 149272 156792 165549 209056 220732 223908 298544 313584 331098 441464 447816 597088 627168 662196 882928 895632 1324392 1765856 1791264 2593601 2648784 5187202 5297568 7780803 10374404 15561606 20748808 31123212 41497616 62246424 82995232 124492848 248985696