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4456381482 = 233746325463
BaseRepresentation
bin1000010011001111…
…01111110000101010
3102111120110122011000
410021213233300222
533111313201412
62014111415430
7215301421560
oct41147576052
912446418130
104456381482
111987569403
12a44524576
13560343c27
14303bd3a30
151b13744dc
hex1099efc2a

4456381482 has 64 divisors (see below), whose sum is σ = 11342684160. Its totient is φ = 1270451952.

The previous prime is 4456381459. The next prime is 4456381493. The reversal of 4456381482 is 2841836544.

4456381482 is a `hidden beast` number, since 4 + 4 + 5 + 638 + 1 + 4 + 8 + 2 = 666.

It is a super-2 number, since 2×44563814822 = 39718671826225032648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 162283 + ... + 187745.

It is an arithmetic number, because the mean of its divisors is an integer number (177229440).

Almost surely, 24456381482 is an apocalyptic number.

4456381482 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4456381482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671342080).

4456381482 is an abundant number, since it is smaller than the sum of its proper divisors (6886302678).

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

4456381482 is a wasteful number, since it uses less digits than its factorization.

4456381482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25944 (or 25938 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4456381482 is about 66756.1344147487. The cubic root of 4456381482 is about 1645.6120303413.

The spelling of 4456381482 in words is "four billion, four hundred fifty-six million, three hundred eighty-one thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 463 926 1389 2778 3241 4167 6482 8334 9723 12501 19446 25002 25463 29169 50926 58338 76389 87507 152778 175014 178241 229167 356482 458334 534723 687501 1069446 1375002 1604169 3208338 4812507 9625014 11789369 23578738 35368107 70736214 82525583 106104321 165051166 212208642 247576749 318312963 495153498 636625926 742730247 1485460494 2228190741 4456381482