Search a number
-
+
245456568 = 23347531021
BaseRepresentation
bin11101010000101…
…01111010111000
3122002212111010000
432220111322320
51000314102233
640204553000
76040226550
oct1650257270
9562774100
10245456568
11116610175
126a252760
133bb11696
1424856160
1516837d13
hexea15eb8

245456568 has 160 divisors (see below), whose sum is σ = 801329760. Its totient is φ = 68739840.

The previous prime is 245456567. The next prime is 245456593. The reversal of 245456568 is 865654542.

245456568 is a `hidden beast` number, since 2 + 45 + 45 + 6 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245456567) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239898 + ... + 240918.

It is an arithmetic number, because the mean of its divisors is an integer number (5008311).

Almost surely, 2245456568 is an apocalyptic number.

245456568 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 245456568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400664880).

245456568 is an abundant number, since it is smaller than the sum of its proper divisors (555873192).

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

245456568 is a wasteful number, since it uses less digits than its factorization.

245456568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1086 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 245456568 is about 15667.0535838747. The cubic root of 245456568 is about 626.1209264630.

It can be divided in two parts, 24545 and 6568, that added together give a palindrome (31113).

The spelling of 245456568 in words is "two hundred forty-five million, four hundred fifty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 81 84 106 108 126 159 162 168 189 212 216 252 318 324 371 378 424 477 504 567 636 648 742 756 954 1021 1113 1134 1272 1431 1484 1512 1908 2042 2226 2268 2862 2968 3063 3339 3816 4084 4293 4452 4536 5724 6126 6678 7147 8168 8586 8904 9189 10017 11448 12252 13356 14294 17172 18378 20034 21441 24504 26712 27567 28588 30051 34344 36756 40068 42882 54113 55134 57176 60102 64323 73512 80136 82701 85764 108226 110268 120204 128646 162339 165402 171528 192969 216452 220536 240408 257292 324678 330804 378791 385938 432904 487017 514584 578907 649356 661608 757582 771876 974034 1136373 1157814 1298712 1461051 1515164 1543752 1948068 2272746 2315628 2922102 3030328 3409119 3896136 4383153 4545492 4631256 5844204 6818238 8766306 9090984 10227357 11688408 13636476 17532612 20454714 27272952 30682071 35065224 40909428 61364142 81818856 122728284 245456568