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2443553442 = 23211232112543
BaseRepresentation
bin1001000110100101…
…1010101010100010
320022021222101011100
42101221122222202
520001022202232
61042245455230
7114360601341
oct22151325242
96267871140
102443553442
11104435a960
12582411516
132cc327a15
14192759b58
15e47cac7c
hex91a5aaa2

2443553442 has 96 divisors (see below), whose sum is σ = 6057732096. Its totient is φ = 704642400.

The previous prime is 2443553353. The next prime is 2443553479.

2443553442 is a `hidden beast` number, since 24 + 43 + 553 + 4 + 42 = 666.

2443553442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2443553397 and 2443553406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959623 + ... + 962165.

It is an arithmetic number, because the mean of its divisors is an integer number (63101376).

Almost surely, 22443553442 is an apocalyptic number.

2443553442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2443553442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028866048).

2443553442 is an abundant number, since it is smaller than the sum of its proper divisors (3614178654).

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

2443553442 is a wasteful number, since it uses less digits than its factorization.

2443553442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2793 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 2443553442 is about 49432.3117201694. The cubic root of 2443553442 is about 1346.9163163141.

It can be divided in two parts, 24435 and 53442, that added together give a palindrome (77877).

The spelling of 2443553442 in words is "two billion, four hundred forty-three million, five hundred fifty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 211 253 414 422 506 633 759 1266 1518 1899 2277 2321 2543 3798 4554 4642 4853 5086 6963 7629 9706 13926 14559 15258 20889 22887 27973 29118 41778 43677 45774 53383 55946 58489 83919 87354 106766 116978 160149 167838 175467 251757 320298 350934 480447 503514 526401 536573 643379 960894 1052802 1073146 1286758 1609719 1930137 3219438 3860274 4829157 5790411 5902303 9658314 11580822 11804606 12341179 17706909 24682358 35413818 37023537 53120727 74047074 106241454 111070611 135752969 222141222 271505938 407258907 814517814 1221776721 2443553442