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12832848 = 2432729439
BaseRepresentation
bin110000111101…
…000001010000
3220010222100200
4300331001100
511241122343
61135015200
7214035360
oct60750120
926128320
1012832848
117275566
12436a500
132874102
1419c09a0
1511d74d3
hexc3d050

12832848 has 120 divisors (see below), whose sum is σ = 42556800. Its totient is φ = 3532032.

The previous prime is 12832843. The next prime is 12832849. The reversal of 12832848 is 84823821.

It is a happy number.

It is a super-2 number, since 2×128328482 = 329363975582208, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12832843) 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, 29013 + ... + 29451.

It is an arithmetic number, because the mean of its divisors is an integer number (354640).

Almost surely, 212832848 is an apocalyptic number.

12832848 is a gapful number since it is divisible by the number (18) 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 12832848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278400).

12832848 is an abundant number, since it is smaller than the sum of its proper divisors (29723952).

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

12832848 is a wasteful number, since it uses less digits than its factorization.

12832848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 12832848 is about 3582.2964701431. The cubic root of 12832848 is about 234.1213484121.

The spelling of 12832848 in words is "twelve million, eight hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 439 464 504 522 609 696 812 878 1008 1044 1218 1317 1392 1624 1756 1827 2088 2436 2634 3073 3248 3512 3654 3951 4176 4872 5268 6146 7024 7308 7902 9219 9744 10536 12292 12731 14616 15804 18438 21072 24584 25462 27657 29232 31608 36876 38193 49168 50924 55314 63216 73752 76386 89117 101848 110628 114579 147504 152772 178234 203696 221256 229158 267351 305544 356468 442512 458316 534702 611088 712936 802053 916632 1069404 1425872 1604106 1833264 2138808 3208212 4277616 6416424 12832848