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2982468 = 22319103127
BaseRepresentation
bin1011011000001001000100
312121112011210
423120021010
51230414333
6143531420
734231146
oct13301104
95545153
102982468
111757855
12bb9b70
13805698
14578c96
153dda63
hex2d8244

2982468 has 48 divisors (see below), whose sum is σ = 7454720. Its totient is φ = 925344.

The previous prime is 2982461. The next prime is 2982491. The reversal of 2982468 is 8642892.

Its product of digits (55296) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23421 + ... + 23547.

22982468 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 2982468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727360).

2982468 is an abundant number, since it is smaller than the sum of its proper divisors (4472252).

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

2982468 is a wasteful number, since it uses less digits than its factorization.

2982468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2982468 is about 1726.9823392264. The cubic root of 2982468 is about 143.9434577396.

It can be divided in two parts, 29824 and 68, that added together give a palindrome (29892).

The spelling of 2982468 in words is "two million, nine hundred eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 114 127 206 228 254 309 381 412 508 618 762 1236 1524 1957 2413 3914 4826 5871 7239 7828 9652 11742 13081 14478 23484 26162 28956 39243 52324 78486 156972 248539 497078 745617 994156 1491234 2982468