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12878442 = 2323761317
BaseRepresentation
bin110001001000…
…001001101010
3220020021220100
4301020021222
511244102232
61140010230
7214315323
oct61101152
926207810
1012878442
1172a6845
124390976
13288baa5
1419d344a
1511e5c7c
hexc4826a

12878442 has 48 divisors (see below), whose sum is σ = 29219112. Its totient is φ = 4095360.

The previous prime is 12878431. The next prime is 12878483. The reversal of 12878442 is 24487821.

It can be written as a sum of positive squares in 4 ways, for example, as 7017201 + 5861241 = 2649^2 + 2421^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12878397 and 12878406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40468 + ... + 40784.

Almost surely, 212878442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12878442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609556).

12878442 is an abundant number, since it is smaller than the sum of its proper divisors (16340670).

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

12878442 is a wasteful number, since it uses less digits than its factorization.

12878442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 420 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 12878442 is about 3588.6546225570. The cubic root of 12878442 is about 234.3982916586.

The spelling of 12878442 in words is "twelve million, eight hundred seventy-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 317 333 366 549 634 666 951 1098 1902 2257 2853 4514 5706 6771 11729 13542 19337 20313 23458 35187 38674 40626 58011 70374 105561 116022 174033 211122 348066 715469 1430938 2146407 4292814 6439221 12878442