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12848328 = 2333173499
BaseRepresentation
bin110001000000…
…110011001000
3220011202121000
4301000303020
511242121303
61135215000
7214131453
oct61006310
926152530
1012848328
117286159
124377460
13287b17c
1419c649a
1511dbda3
hexc40cc8

12848328 has 64 divisors (see below), whose sum is σ = 37800000. Its totient is φ = 4029696.

The previous prime is 12848321. The next prime is 12848333. The reversal of 12848328 is 82384821.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 12848292 and 12848301.

It is not an unprimeable number, because it can be changed into a prime (12848321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923 + ... + 5421.

It is an arithmetic number, because the mean of its divisors is an integer number (590625).

Almost surely, 212848328 is an apocalyptic number.

12848328 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 12848328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900000).

12848328 is an abundant number, since it is smaller than the sum of its proper divisors (24951672).

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

12848328 is a wasteful number, since it uses less digits than its factorization.

12848328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3521 counting only the distinct ones).

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

The square root of 12848328 is about 3584.4564441488. The cubic root of 12848328 is about 234.2154491704.

The spelling of 12848328 in words is "twelve million, eight hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3499 3672 6998 10497 13996 20994 27992 31491 41988 59483 62982 83976 94473 118966 125964 178449 188946 237932 251928 356898 377892 475864 535347 713796 755784 1070694 1427592 1606041 2141388 3212082 4282776 6424164 12848328