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1382884888 = 2371179157181
BaseRepresentation
bin101001001101101…
…0010011000011000
310120101010211102211
41102123102120120
510313004304023
6345120004504
746161220240
oct12233223030
93511124384
101382884888
1164a669980
12327160734
131906684a8
14d1938b20
1581613a0d
hex526d2618

1382884888 has 128 divisors (see below), whose sum is σ = 3312691200. Its totient is φ = 525657600.

The previous prime is 1382884871. The next prime is 1382884889. The reversal of 1382884888 is 8884882831.

It is a super-2 number, since 2×13828848882 = 3824741226917545088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382884889) 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 31 ways as a sum of consecutive naturals, for example, 7640158 + ... + 7640338.

It is an arithmetic number, because the mean of its divisors is an integer number (25880400).

Almost surely, 21382884888 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 1382884888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656345600).

1382884888 is an abundant number, since it is smaller than the sum of its proper divisors (1929806312).

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

1382884888 is a wasteful number, since it uses less digits than its factorization.

1382884888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 58.

The square root of 1382884888 is about 37187.1602572716. The cubic root of 1382884888 is about 1114.1115508329. Note that the first 3 decimals are identical.

The spelling of 1382884888 in words is "one billion, three hundred eighty-two million, eight hundred eighty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 79 88 154 157 158 181 308 314 316 362 553 616 628 632 724 869 1099 1106 1256 1267 1448 1727 1738 1991 2198 2212 2534 3454 3476 3982 4396 4424 5068 6083 6908 6952 7964 8792 10136 12089 12166 12403 13816 13937 14299 15928 24178 24332 24806 27874 28417 28598 48356 48664 49612 55748 56834 57196 86821 96712 99224 100093 111496 113668 114392 136433 157289 173642 198919 200186 227336 272866 312587 314578 347284 397838 400372 545732 625174 629156 694568 795676 800744 955031 1091464 1101023 1250348 1258312 1591352 1910062 2188109 2202046 2244943 2500696 3820124 4376218 4404092 4489886 7640248 8752436 8808184 8979772 15714601 17504872 17959544 24694373 31429202 49388746 62858404 98777492 125716808 172860611 197554984 345721222 691442444 1382884888