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248294085 = 35132322983
BaseRepresentation
bin11101100110010…
…10101011000101
3122022012122110020
432303022223011
51002030402320
640345445353
76103315314
oct1663125305
9568178406
10248294085
11118179026
126b1a0859
133c5960a0
1424d9427b
1516be8940
hexeccaac5

248294085 has 96 divisors (see below), whose sum is σ = 468236160. Its totient is φ = 111530496.

The previous prime is 248294021. The next prime is 248294099. The reversal of 248294085 is 580492842.

It is not a de Polignac number, because 248294085 - 26 = 248294021 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2991454 + ... + 2991536.

It is an arithmetic number, because the mean of its divisors is an integer number (4877460).

Almost surely, 2248294085 is an apocalyptic number.

It is an amenable number.

248294085 is a deficient number, since it is larger than the sum of its proper divisors (219942075).

248294085 is a wasteful number, since it uses less digits than its factorization.

248294085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 248294085 is about 15757.3501896734. The cubic root of 248294085 is about 628.5243745646.

The spelling of 248294085 in words is "two hundred forty-eight million, two hundred ninety-four thousand, eighty-five".

Divisors: 1 3 5 13 15 23 29 39 65 69 83 87 115 145 195 249 299 345 377 415 435 529 667 897 1079 1131 1245 1495 1587 1885 1909 2001 2407 2645 3237 3335 4485 5395 5655 5727 6877 7221 7935 8671 9545 10005 12035 15341 16185 20631 24817 26013 28635 31291 34385 36105 43355 43907 46023 55361 74451 76705 93873 103155 124085 130065 131721 156455 166083 199433 219535 230115 276805 372255 469365 570791 598299 658605 719693 830415 997165 1273303 1712373 2159079 2853955 2991495 3598465 3819909 6366515 8561865 10795395 16552939 19099545 49658817 82764695 248294085