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12849152 = 2123137
BaseRepresentation
bin110001000001…
…000000000000
3220011210201112
4301001000000
511242133102
61135222452
7214134041
oct61010000
926153645
1012849152
117286838
124377a28
13287b664
1419c68c8
1511dc252
hexc41000

12849152 has 26 divisors (see below), whose sum is σ = 25703358. Its totient is φ = 6422528.

The previous prime is 12849139. The next prime is 12849163. The reversal of 12849152 is 25194821.

It can be written as a sum of positive squares in only one way, i.e., 12845056 + 4096 = 3584^2 + 64^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2528 + ... + 5664.

Almost surely, 212849152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12851679).

12849152 is an abundant number, since it is smaller than the sum of its proper divisors (12854206).

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

12849152 is an frugal number, since it uses more digits than its factorization.

12849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3139 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 12849152 is about 3584.5713830248. The cubic root of 12849152 is about 234.2204560321.

The spelling of 12849152 in words is "twelve million, eight hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3137 4096 6274 12548 25096 50192 100384 200768 401536 803072 1606144 3212288 6424576 12849152