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245375568 = 2436109193
BaseRepresentation
bin11101010000000…
…10001001010000
3122002201101000000
432220002021100
51000304004233
640203130000
76036441444
oct1650021120
9562641000
10245375568
11116565329
126a213900
133bab3859
1424834824
151681dd13
hexea02250

245375568 has 140 divisors (see below), whose sum is σ = 723063220. Its totient is φ = 80621568.

The previous prime is 245375567. The next prime is 245375573. The reversal of 245375568 is 865573542.

245375568 is a `hidden beast` number, since 2 + 4 + 537 + 55 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114318864 + 131056704 = 10692^2 + 11448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245375563) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1271280 + ... + 1271472.

Almost surely, 2245375568 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 245375568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361531610).

245375568 is an abundant number, since it is smaller than the sum of its proper divisors (477687652).

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

245375568 is a wasteful number, since it uses less digits than its factorization.

245375568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

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

The square root of 245375568 is about 15664.4683280346. The cubic root of 245375568 is about 626.0520461513.

The spelling of 245375568 in words is "two hundred forty-five million, three hundred seventy-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 193 216 218 243 324 327 386 432 436 486 579 648 654 729 772 872 972 981 1158 1296 1308 1458 1544 1737 1744 1944 1962 2316 2616 2916 2943 3088 3474 3888 3924 4632 5211 5232 5832 5886 6948 7848 8829 9264 10422 11664 11772 13896 15633 15696 17658 20844 21037 23544 26487 27792 31266 35316 41688 42074 46899 47088 52974 62532 63111 70632 79461 83376 84148 93798 105948 125064 126222 140697 141264 158922 168296 187596 189333 211896 250128 252444 281394 317844 336592 375192 378666 423792 504888 562788 567999 635688 750384 757332 1009776 1125576 1135998 1271376 1514664 1703997 2251152 2271996 3029328 3407994 4543992 5111991 6815988 9087984 10223982 13631976 15335973 20447964 27263952 30671946 40895928 61343892 81791856 122687784 245375568