Search a number
-
+
245753568 = 2533461617
BaseRepresentation
bin11101010010111…
…10011011100000
3122010102120112000
432221132123200
51000403103233
640215204000
76042604464
oct1651363340
9563376460
10245753568
111167a3325
126a376600
133bbb6918
14248d24a4
1516895d13
hexea5e6e0

245753568 has 96 divisors (see below), whose sum is σ = 719500320. Its totient is φ = 81607680.

The previous prime is 245753537. The next prime is 245753579. The reversal of 245753568 is 865357542.

245753568 is a `hidden beast` number, since 2 + 4 + 57 + 535 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397996 + ... + 398612.

It is an arithmetic number, because the mean of its divisors is an integer number (7494795).

Almost surely, 2245753568 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 245753568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359750160).

245753568 is an abundant number, since it is smaller than the sum of its proper divisors (473746752).

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

245753568 is a wasteful number, since it uses less digits than its factorization.

245753568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1083 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 245753568 is about 15676.5292077041. The cubic root of 245753568 is about 626.3733580366.

The spelling of 245753568 in words is "two hundred forty-five million, seven hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 461 617 864 922 1234 1383 1844 1851 2468 2766 3688 3702 4149 4936 5532 5553 7376 7404 8298 9872 11064 11106 12447 14752 14808 16596 16659 19744 22128 22212 24894 29616 33192 33318 44256 44424 49788 59232 66384 66636 88848 99576 132768 133272 177696 199152 266544 284437 398304 533088 568874 853311 1137748 1706622 2275496 2559933 3413244 4550992 5119866 6826488 7679799 9101984 10239732 13652976 15359598 20479464 27305952 30719196 40958928 61438392 81917856 122876784 245753568