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4452263382 = 237217890809
BaseRepresentation
bin1000010010110000…
…00010010111010110
3102111021201102011210
410021120002113112
533104234412012
62013443242250
7215221420500
oct41130022726
912437642153
104452263382
111985206416
12a43079386
1355c531698
14303440d70
151b0d0e23c
hex1096025d6

4452263382 has 48 divisors (see below), whose sum is σ = 10967652720. Its totient is φ = 1197245952.

The previous prime is 4452263353. The next prime is 4452263383. The reversal of 4452263382 is 2833622544.

It is a super-3 number, since 3×44522633823 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4452263382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4452263383) 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, 440407 + ... + 450402.

It is an arithmetic number, because the mean of its divisors is an integer number (228492765).

Almost surely, 24452263382 is an apocalyptic number.

4452263382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4452263382 is an abundant number, since it is smaller than the sum of its proper divisors (6515389338).

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

4452263382 is a wasteful number, since it uses less digits than its factorization.

4452263382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890845 (or 890838 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 4452263382 is about 66725.2829293365. The cubic root of 4452263382 is about 1645.1049759475.

The spelling of 4452263382 in words is "four billion, four hundred fifty-two million, two hundred sixty-three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 890809 1781618 2672427 5344854 6235663 12471326 15143753 18706989 30287506 37413978 43649641 45431259 87299282 90862518 106006271 130948923 212012542 261897846 318018813 636037626 742043897 1484087794 2226131691 4452263382