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245636768 = 2513253857
BaseRepresentation
bin11101010010000…
…01111010100000
3122010012122022002
432221001322200
51000340334033
640212503132
76041610116
oct1651017240
9563178262
10245636768
111167235a3
126a31aaa8
133bb75700
14248a1ab6
15168713e8
hexea41ea0

245636768 has 72 divisors (see below), whose sum is σ = 534161628. Its totient is φ = 111101952.

The previous prime is 245636759. The next prime is 245636771. The reversal of 245636768 is 867636542.

It can be written as a sum of positive squares in 6 ways, for example, as 117765904 + 127870864 = 10852^2 + 11308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286196 + ... + 287052.

Almost surely, 2245636768 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 245636768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267080814).

245636768 is an abundant number, since it is smaller than the sum of its proper divisors (288524860).

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

245636768 is a wasteful number, since it uses less digits than its factorization.

245636768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 925 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 47.

The square root of 245636768 is about 15672.8034505637. The cubic root of 245636768 is about 626.2741095601.

The spelling of 245636768 in words is "two hundred forty-five million, six hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 169 208 212 338 416 424 676 689 848 857 1352 1378 1696 1714 2704 2756 3428 5408 5512 6856 8957 11024 11141 13712 17914 22048 22282 27424 35828 44564 45421 71656 89128 90842 143312 144833 178256 181684 286624 289666 356512 363368 579332 590473 726736 1158664 1180946 1453472 2317328 2361892 4634656 4723784 7676149 9447568 15352298 18895136 30704596 61409192 122818384 245636768