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10442484 = 22321353421
BaseRepresentation
bin100111110101…
…011011110100
3201122112101200
4213311123310
510133124414
61011452500
7154521363
oct47653364
921575350
1010442484
115992658
1235b7130
1322180b0
14155b7da
15db4109
hex9f56f4

10442484 has 72 divisors (see below), whose sum is σ = 29031912. Its totient is φ = 3144960.

The previous prime is 10442477. The next prime is 10442489. The reversal of 10442484 is 48424401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22500 + 10419984 = 150^2 + 3228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24594 + ... + 25014.

It is an arithmetic number, because the mean of its divisors is an integer number (403221).

Almost surely, 210442484 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 10442484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515956).

10442484 is an abundant number, since it is smaller than the sum of its proper divisors (18589428).

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

10442484 is a wasteful number, since it uses less digits than its factorization.

10442484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 10442484 is about 3231.4832507689. The cubic root of 10442484 is about 218.5753954718.

Adding to 10442484 its reverse (48424401), we get a palindrome (58866885).

The spelling of 10442484 in words is "ten million, four hundred forty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 421 468 477 636 689 842 954 1263 1378 1684 1908 2067 2526 2756 3789 4134 5052 5473 6201 7578 8268 10946 12402 15156 16419 21892 22313 24804 32838 44626 49257 65676 66939 89252 98514 133878 197028 200817 267756 290069 401634 580138 803268 870207 1160276 1740414 2610621 3480828 5221242 10442484