Search a number
-
+
245659968 = 26321922447
BaseRepresentation
bin11101010010001…
…11100101000000
3122010020211010100
432221013211000
51000342104333
640213202400
76042034551
oct1651074500
9563224110
10245659968
11116739a74
126a330400
133bb83138
14248aa328
1516878213
hexea47940

245659968 has 84 divisors (see below), whose sum is σ = 741232960. Its totient is φ = 77573376.

The previous prime is 245659963. The next prime is 245659991. The reversal of 245659968 is 869956542.

It is a happy number.

245659968 is a `hidden beast` number, since 2 + 45 + 6 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×2456599682 = 120697639755522048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245659961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280 + ... + 22167.

Almost surely, 2245659968 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 245659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370616480).

245659968 is an abundant number, since it is smaller than the sum of its proper divisors (495572992).

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

245659968 is a wasteful number, since it uses less digits than its factorization.

245659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22484 (or 22471 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 245659968 is about 15673.5435687020. The cubic root of 245659968 is about 626.2938258021.

The spelling of 245659968 in words is "two hundred forty-five million, six hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 22447 44894 67341 89788 134682 179576 202023 269364 359152 404046 426493 538728 718304 808092 852986 1077456 1279479 1436608 1616184 1705972 2154912 2558958 3232368 3411944 3838437 4309824 5117916 6464736 6823888 7676874 10235832 12929472 13647776 15353748 20471664 27295552 30707496 40943328 61414992 81886656 122829984 245659968