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12428757 = 32112101113
BaseRepresentation
bin101111011010…
…010111010101
3212101110001100
4233122113111
511140210012
61122220313
7210433305
oct57322725
925343040
1012428757
117019a00
1241b4699
1327621c3
141917605
1511578dc
hexbda5d5

12428757 has 36 divisors (see below), whose sum is σ = 20104812. Its totient is φ = 7392000.

The previous prime is 12428753. The next prime is 12428771. The reversal of 12428757 is 75782421.

It can be written as a sum of positive squares in 2 ways, for example, as 5803281 + 6625476 = 2409^2 + 2574^2 .

It is not a de Polignac number, because 12428757 - 22 = 12428753 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12428753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109933 + ... + 110045.

It is an arithmetic number, because the mean of its divisors is an integer number (558467).

Almost surely, 212428757 is an apocalyptic number.

It is an amenable number.

12428757 is a deficient number, since it is larger than the sum of its proper divisors (7676055).

12428757 is a wasteful number, since it uses less digits than its factorization.

12428757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 12428757 is about 3525.4442273280. Note that the first 3 decimals coincide. The cubic root of 12428757 is about 231.6376937584.

It can be divided in two parts, 1242 and 8757, that added together give a palindrome (9999).

The spelling of 12428757 in words is "twelve million, four hundred twenty-eight thousand, seven hundred fifty-seven".

Divisors: 1 3 9 11 33 99 101 113 121 303 339 363 909 1017 1089 1111 1243 3333 3729 9999 11187 11413 12221 13673 34239 36663 41019 102717 109989 123057 125543 376629 1129887 1380973 4142919 12428757