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245364768 = 25331122347
BaseRepresentation
bin11101001111111…
…11100000100000
3122002200211012000
432213333200200
51000303133033
640203004000
76036365115
oct1647774040
9562624160
10245364768
11116558200
126a209600
133baab96c
142483090c
151681aa13
hexe9ff820

245364768 has 144 divisors (see below), whose sum is σ = 786955680. Its totient is φ = 74321280.

The previous prime is 245364767. The next prime is 245364793. The reversal of 245364768 is 867463542.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (245364767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103371 + ... + 105717.

It is an arithmetic number, because the mean of its divisors is an integer number (5464970).

Almost surely, 2245364768 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 245364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393477840).

245364768 is an abundant number, since it is smaller than the sum of its proper divisors (541590912).

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

245364768 is a wasteful number, since it uses less digits than its factorization.

245364768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2363 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 245364768 is about 15664.1235950180. The cubic root of 245364768 is about 626.0428609645.

The spelling of 245364768 in words is "two hundred forty-five million, three hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2347 2376 2904 3168 3267 3872 4356 4694 4752 5808 6534 7041 8712 9388 9504 11616 13068 14082 17424 18776 21123 25817 26136 28164 34848 37552 42246 51634 52272 56328 63369 75104 77451 84492 103268 104544 112656 126738 154902 168984 206536 225312 232353 253476 283987 309804 337968 413072 464706 506952 567974 619608 675936 697059 826144 851961 929412 1013904 1135948 1239216 1394118 1703922 1858824 2027808 2271896 2478432 2555883 2788236 3407844 3717648 4543792 5111766 5576472 6815688 7435296 7667649 9087584 10223532 11152944 13631376 15335298 20447064 22305888 27262752 30670596 40894128 61341192 81788256 122682384 245364768