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245840868 = 2232713101743
BaseRepresentation
bin11101010011100…
…11101111100100
3122010121000021100
432221303233210
51000413401433
640221120100
76043420140
oct1651635744
9563530240
10245840868
11116852979
126a3b9030
133bc17590
1424916220
15168b1b13
hexea73be4

245840868 has 144 divisors (see below), whose sum is σ = 773450496. Its totient is φ = 64108800.

The previous prime is 245840789. The next prime is 245840869. The reversal of 245840868 is 868048542.

245840868 is a `hidden beast` number, since 2 + 4 + 584 + 0 + 8 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (245840869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330505 + ... + 331247.

It is an arithmetic number, because the mean of its divisors is an integer number (5371184).

Almost surely, 2245840868 is an apocalyptic number.

245840868 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 245840868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386725248).

245840868 is an abundant number, since it is smaller than the sum of its proper divisors (527609628).

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

245840868 is a wasteful number, since it uses less digits than its factorization.

245840868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 245840868 is about 15679.3133778237. The cubic root of 245840868 is about 626.4475189408.

The spelling of 245840868 in words is "two hundred forty-five million, eight hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 101 117 126 156 182 202 234 252 273 303 364 404 468 546 606 707 743 819 909 1092 1212 1313 1414 1486 1638 1818 2121 2229 2626 2828 2972 3276 3636 3939 4242 4458 5201 5252 6363 6687 7878 8484 8916 9191 9659 10402 11817 12726 13374 15603 15756 18382 19318 20804 23634 25452 26748 27573 28977 31206 36764 38636 46809 47268 55146 57954 62412 67613 75043 82719 86931 93618 110292 115908 135226 150086 165438 173862 187236 202839 225129 270452 300172 330876 347724 405678 450258 525301 608517 675387 811356 900516 975559 1050602 1217034 1350774 1575903 1951118 2101204 2434068 2701548 2926677 3151806 3902236 4727709 5853354 6303612 6828913 8780031 9455418 11706708 13657826 17560062 18910836 20486739 27315652 35120124 40973478 61460217 81946956 122920434 245840868