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12379752 = 23327211229
BaseRepresentation
bin101111001110…
…011001101000
3212021221211100
4233032121220
511132123002
61121201400
7210140400
oct57163150
925257740
1012379752
116a96100
124190260
132745ac8
141903800
15114811c
hexbce668

12379752 has 216 divisors, whose sum is σ = 44348850. Its totient is φ = 3104640.

The previous prime is 12379739. The next prime is 12379769. The reversal of 12379752 is 25797321.

It can be written as a sum of positive squares in only one way, i.e., 10458756 + 1920996 = 3234^2 + 1386^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 426874 + ... + 426902.

Almost surely, 212379752 is an apocalyptic number.

12379752 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 12379752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22174425).

12379752 is an abundant number, since it is smaller than the sum of its proper divisors (31969098).

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

12379752 is a wasteful number, since it uses less digits than its factorization.

12379752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12379752 is about 3518.4871749091. The cubic root of 12379752 is about 231.3328534863.

Subtracting 12379752 from its reverse (25797321), we obtain a square (13417569 = 36632).

It can be divided in two parts, 12379 and 752, that added together give a palindrome (13131).

The spelling of 12379752 in words is "twelve million, three hundred seventy-nine thousand, seven hundred fifty-two".