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245085568 = 2771353397
BaseRepresentation
bin11101001101110…
…11010110000000
3122002011122012021
432212323112000
51000220214233
640153011224
76034123120
oct1646732600
9562148167
10245085568
11116387462
126a0b3b14
133ba11860
142479ac80
15167b2e2d
hexe9bb580

245085568 has 128 divisors (see below), whose sum is σ = 613811520. Its totient is φ = 94887936.

The previous prime is 245085559. The next prime is 245085569. The reversal of 245085568 is 865580542.

245085568 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 (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245085569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617146 + ... + 617542.

Almost surely, 2245085568 is an apocalyptic number.

245085568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306905760).

245085568 is an abundant number, since it is smaller than the sum of its proper divisors (368725952).

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

245085568 is a wasteful number, since it uses less digits than its factorization.

245085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 43.

The square root of 245085568 is about 15655.2089733737. The cubic root of 245085568 is about 625.8053132672.

The spelling of 245085568 in words is "two hundred forty-five million, eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 64 91 104 106 112 128 182 208 212 224 364 371 397 416 424 448 689 728 742 794 832 848 896 1378 1456 1484 1588 1664 1696 2756 2779 2912 2968 3176 3392 4823 5161 5512 5558 5824 5936 6352 6784 9646 10322 11024 11116 11648 11872 12704 19292 20644 21041 22048 22232 23744 25408 36127 38584 41288 42082 44096 44464 47488 50816 72254 77168 82576 84164 88192 88928 144508 147287 154336 165152 168328 177856 273533 289016 294574 308672 330304 336656 355712 547066 578032 589148 617344 660608 673312 1094132 1156064 1178296 1346624 1914731 2188264 2312128 2356592 2693248 3829462 4376528 4624256 4713184 7658924 8753056 9426368 15317848 17506112 18852736 30635696 35012224 61271392 122542784 245085568