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12828942 = 2377419
BaseRepresentation
bin110000111100…
…000100001110
3220010210000000
4300330010032
511241011232
61134545130
7214021110
oct60740416
926123000
1012828942
117272635
1243681a6
1328723b9
1419bd3b0
1511d627c
hexc3c10e

12828942 has 64 divisors (see below), whose sum is σ = 33062400. Its totient is φ = 3656664.

The previous prime is 12828923. The next prime is 12828943. The reversal of 12828942 is 24982821.

It is a junction number, because it is equal to n+sod(n) for n = 12828897 and 12828906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30409 + ... + 30827.

It is an arithmetic number, because the mean of its divisors is an integer number (516600).

Almost surely, 212828942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12828942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531200).

12828942 is an abundant number, since it is smaller than the sum of its proper divisors (20233458).

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

12828942 is an frugal number, since it uses more digits than its factorization.

12828942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12828942 is about 3581.7512476441. The cubic root of 12828942 is about 234.0975924284.

The spelling of 12828942 in words is "twelve million, eight hundred twenty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 419 486 567 729 838 1134 1257 1458 1701 2187 2514 2933 3402 3771 4374 5103 5866 7542 8799 10206 11313 15309 17598 22626 26397 30618 33939 52794 67878 79191 101817 158382 203634 237573 305451 475146 610902 712719 916353 1425438 1832706 2138157 4276314 6414471 12828942