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245613456 = 243211198161
BaseRepresentation
bin11101010001111…
…00001110010000
3122010011110022200
432220330032100
51000334112311
640212203200
76041452134
oct1650741620
9563143280
10245613456
11116708030
126a309500
133bb67c0a
14248973c4
1516869556
hexea3c390

245613456 has 120 divisors (see below), whose sum is σ = 789428640. Its totient is φ = 70502400.

The previous prime is 245613451. The next prime is 245613457. The reversal of 245613456 is 654316542.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 245613456.

It is not an unprimeable number, because it can be changed into a prime (245613451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26016 + ... + 34176.

It is an arithmetic number, because the mean of its divisors is an integer number (6578572).

Almost surely, 2245613456 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 245613456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394714320).

245613456 is an abundant number, since it is smaller than the sum of its proper divisors (543815184).

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

245613456 is a wasteful number, since it uses less digits than its factorization.

245613456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205 (or 8196 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 245613456 is about 15672.0597242354. The cubic root of 245613456 is about 626.2542968857.

Adding to 245613456 its reverse (654316542), we get a palindrome (899929998).

The spelling of 245613456 in words is "two hundred forty-five million, six hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 8161 10032 15048 16322 24483 30096 32644 48966 65288 73449 89771 97932 130576 146898 155059 179542 195864 269313 293796 310118 359084 391728 465177 538626 587592 620236 718168 807939 930354 1077252 1175184 1240472 1395531 1436336 1615878 1705649 1860708 2154504 2480944 2791062 3231756 3411298 3721416 4309008 5116947 5582124 6463512 6822596 7442832 10233894 11164248 12927024 13645192 15350841 20467788 22328496 27290384 30701682 40935576 61403364 81871152 122806728 245613456