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12822942 = 2311375989
BaseRepresentation
bin110000111010…
…100110011110
3220010110202210
4300322212132
511240313232
61134501250
7213664446
oct60724636
926113683
1012822942
117269080
124364826
13286c752
1419bb126
1511d45cc
hexc3a99e

12822942 has 64 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 3674880.

The previous prime is 12822941. The next prime is 12822973. The reversal of 12822942 is 24922821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12822941) 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, 144034 + ... + 144122.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 212822942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12822942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

12822942 is an abundant number, since it is smaller than the sum of its proper divisors (16725858).

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

12822942 is a wasteful number, since it uses less digits than its factorization.

12822942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201.

The product of its digits is 4608, while the sum is 30.

The square root of 12822942 is about 3580.9135705850. The cubic root of 12822942 is about 234.0610915077.

It can be divided in two parts, 128229 and 42, that added together give a triangular number (128271 = T506).

The spelling of 12822942 in words is "twelve million, eight hundred twenty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 59 66 74 89 111 118 177 178 222 267 354 407 534 649 814 979 1221 1298 1947 1958 2183 2442 2937 3293 3894 4366 5251 5874 6549 6586 9879 10502 13098 15753 19758 24013 31506 36223 48026 57761 72039 72446 108669 115522 144078 173283 194287 217338 346566 388574 582861 1165722 2137157 4274314 6411471 12822942