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12428892 = 22327313743
BaseRepresentation
bin101111011010…
…011001011100
3212101110020100
4233122121130
511140211032
61122221100
7210433560
oct57323134
925343210
1012428892
11701a013
1241b4790
132762298
1419176a0
15115797c
hexbda65c

12428892 has 144 divisors (see below), whose sum is σ = 38950912. Its totient is φ = 3265920.

The previous prime is 12428891. The next prime is 12428903. The reversal of 12428892 is 29882421.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18432) is a multiple of the sum of its prime factors (128).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12428891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289023 + ... + 289065.

Almost surely, 212428892 is an apocalyptic number.

12428892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12428892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19475456).

12428892 is an abundant number, since it is smaller than the sum of its proper divisors (26522020).

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

12428892 is a wasteful number, since it uses less digits than its factorization.

12428892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 123 counting only the distinct ones).

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

The square root of 12428892 is about 3525.4633737993. The cubic root of 12428892 is about 231.6385324310.

The spelling of 12428892 in words is "twelve million, four hundred twenty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 37 42 43 62 63 74 84 86 93 111 124 126 129 148 172 186 217 222 252 258 259 279 301 333 372 387 434 444 516 518 558 602 651 666 774 777 868 903 1036 1116 1147 1204 1302 1332 1333 1548 1554 1591 1806 1953 2294 2331 2604 2666 2709 3108 3182 3441 3612 3906 3999 4588 4662 4773 5332 5418 6364 6882 7812 7998 8029 9324 9331 9546 10323 10836 11137 11997 13764 14319 15996 16058 18662 19092 20646 22274 23994 24087 27993 28638 32116 33411 37324 41292 44548 47988 48174 49321 55986 57276 66822 72261 83979 96348 98642 100233 111972 133644 144522 147963 167958 197284 200466 289044 295926 335916 345247 400932 443889 591852 690494 887778 1035741 1380988 1775556 2071482 3107223 4142964 6214446 12428892