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12533742 = 23213291847
BaseRepresentation
bin101111110011…
…111111101110
3212120210001200
4233303333232
511202034432
61124350330
7211351344
oct57637756
925523050
1012533742
117090871
1242453a6
13279ac20
141943994
151178a7c
hexbf3fee

12533742 has 48 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3721536.

The previous prime is 12533737. The next prime is 12533753. The reversal of 12533742 is 24733521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5863 + ... + 7709.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 212533742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12533742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

12533742 is an abundant number, since it is smaller than the sum of its proper divisors (17736498).

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

12533742 is a wasteful number, since it uses less digits than its factorization.

12533742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1894 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 12533742 is about 3540.3025294458. The cubic root of 12533742 is about 232.2880760539.

The spelling of 12533742 in words is "twelve million, five hundred thirty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 1847 2262 3393 3694 5541 6786 11082 16623 24011 33246 48022 53563 72033 107126 144066 160689 216099 321378 432198 482067 696319 964134 1392638 2088957 4177914 6266871 12533742