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12833442 = 23231109211
BaseRepresentation
bin110000111101…
…001010100010
3220011000011200
4300331022202
511241132232
61135022030
7214040166
oct60751242
926130150
1012833442
117275a56
12436a916
13287446b
1419c0ca6
1511d777c
hexc3d2a2

12833442 has 48 divisors (see below), whose sum is σ = 29103360. Its totient is φ = 4082400.

The previous prime is 12833441. The next prime is 12833459. The reversal of 12833442 is 24433821.

It is not an unprimeable number, because it can be changed into a prime (12833441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60717 + ... + 60927.

It is an arithmetic number, because the mean of its divisors is an integer number (606320).

Almost surely, 212833442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12833442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551680).

12833442 is an abundant number, since it is smaller than the sum of its proper divisors (16269918).

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

12833442 is a wasteful number, since it uses less digits than its factorization.

12833442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 356 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 12833442 is about 3582.3793768946. The cubic root of 12833442 is about 234.1249606509.

The spelling of 12833442 in words is "twelve million, eight hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 109 186 211 218 279 327 422 558 633 654 981 1266 1899 1962 3379 3798 6541 6758 10137 13082 19623 20274 22999 30411 39246 45998 58869 60822 68997 117738 137994 206991 413982 712969 1425938 2138907 4277814 6416721 12833442