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12484224 = 273210837
BaseRepresentation
bin101111100111…
…111010000000
3212111021010200
4233213322000
511143443344
61123325200
7211054104
oct57477200
925437120
1012484224
117057645
124220800
13278151c
14192d904
151169069
hexbe7e80

12484224 has 48 divisors (see below), whose sum is σ = 35927970. Its totient is φ = 4161024.

The previous prime is 12484217. The next prime is 12484229. The reversal of 12484224 is 42248421.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 705600 = 3432^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (12484229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4267 + ... + 6570.

Almost surely, 212484224 is an apocalyptic number.

It is an amenable number.

12484224 is an abundant number, since it is smaller than the sum of its proper divisors (23443746).

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

12484224 is a wasteful number, since it uses less digits than its factorization.

12484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857 (or 10842 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 12484224 is about 3533.3021382271. The cubic root of 12484224 is about 231.9817663038.

It can be divided in two parts, 124 and 84224, that added together give a palindrome (84348).

The spelling of 12484224 in words is "twelve million, four hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10837 21674 32511 43348 65022 86696 97533 130044 173392 195066 260088 346784 390132 520176 693568 780264 1040352 1387136 1560528 2080704 3121056 4161408 6242112 12484224