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12882888 = 2336472
BaseRepresentation
bin110001001001…
…001111001000
3220020112000000
4301021033020
511244223023
61140043000
7214334304
oct61111710
926215000
1012882888
1172aa117
124393460
132890b15
1419d4d04
1511e7243
hexc493c8

12882888 has 84 divisors (see below), whose sum is σ = 37003515. Its totient is φ = 4202928.

The previous prime is 12882847. The next prime is 12882901. The reversal of 12882888 is 88828821.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6441444 + 6441444 = 2538^2 + 2538^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2538.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 274081 + ... + 274127.

Almost surely, 212882888 is an apocalyptic number.

12882888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12882888

12882888 is an abundant number, since it is smaller than the sum of its proper divisors (24120627).

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

12882888 is an frugal number, since it uses more digits than its factorization.

12882888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 52 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The square root of 12882888 is about 3589.2740213029. The cubic root of 12882888 is about 234.4252621804.

Multiplying 12882888 by its product of digits (131072), we get a square (1688585895936 = 12994562).

The spelling of 12882888 in words is "twelve million, eight hundred eighty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 564 648 729 846 972 1128 1269 1458 1692 1944 2209 2538 2916 3384 3807 4418 5076 5832 6627 7614 8836 10152 11421 13254 15228 17672 19881 22842 26508 30456 34263 39762 45684 53016 59643 68526 79524 91368 119286 137052 159048 178929 238572 274104 357858 477144 536787 715716 1073574 1431432 1610361 2147148 3220722 4294296 6441444 12882888