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12626412 = 2231979701
BaseRepresentation
bin110000001010…
…100111101100
3212202111011220
4300022213230
511213021122
61130343340
7212215461
oct60124754
925674156
1012626412
117144457
12428ab50
132801166
141969668
15119625c
hexc0a9ec

12626412 has 48 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3931200.

The previous prime is 12626387. The next prime is 12626417. The reversal of 12626412 is 21462621.

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 (12626417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17662 + ... + 18362.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 212626412 is an apocalyptic number.

12626412 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 12626412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

12626412 is an abundant number, since it is smaller than the sum of its proper divisors (18823188).

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

12626412 is a wasteful number, since it uses less digits than its factorization.

12626412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 12626412 is about 3553.3662912793. The cubic root of 12626412 is about 232.8591558553.

The spelling of 12626412 in words is "twelve million, six hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 701 948 1402 1501 2103 2804 3002 4206 4503 6004 8412 9006 13319 18012 26638 39957 53276 55379 79914 110758 159828 166137 221516 332274 664548 1052201 2104402 3156603 4208804 6313206 12626412