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4253402322 = 23213531931777
BaseRepresentation
bin1111110110000101…
…1100010011010010
3101222102112020002100
43331201130103102
532202332333242
61542021101230
7210255215601
oct37541342322
911872466070
104253402322
111892a31134
129a8557816
1352a285910
142c4c77a38
1519d62c54c
hexfd85c4d2

4253402322 has 96 divisors (see below), whose sum is σ = 10169975088. Its totient is φ = 1276674048.

The previous prime is 4253402291. The next prime is 4253402323. The reversal of 4253402322 is 2232043524.

It is a happy number.

4253402322 is a `hidden beast` number, since 4 + 253 + 402 + 3 + 2 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1248279561 + 3005122761 = 35331^2 + 54819^2 .

It is not an unprimeable number, because it can be changed into a prime (4253402323) 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, 2392698 + ... + 2394474.

Almost surely, 24253402322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253402322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084987544).

4253402322 is an abundant number, since it is smaller than the sum of its proper divisors (5916572766).

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

4253402322 is a wasteful number, since it uses less digits than its factorization.

4253402322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4253402322 is about 65218.1134501758. The cubic root of 4253402322 is about 1620.2380285818.

Adding to 4253402322 its reverse (2232043524), we get a palindrome (6485445846).

The spelling of 4253402322 in words is "four billion, two hundred fifty-three million, four hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 193 234 318 386 477 579 689 954 1158 1378 1737 1777 2067 2509 3474 3554 4134 5018 5331 6201 7527 10229 10662 12402 15054 15993 20458 22581 23101 30687 31986 45162 46202 61374 69303 92061 94181 132977 138606 184122 188362 207909 265954 282543 342961 398931 415818 565086 685922 797862 847629 1028883 1196793 1224353 1695258 2057766 2393586 2448706 3086649 3673059 4458493 6173298 7346118 8916986 11019177 13375479 18176933 22038354 26750958 36353866 40126437 54530799 80252874 109061598 163592397 236300129 327184794 472600258 708900387 1417800774 2126701161 4253402322