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13046752 = 251729827
BaseRepresentation
bin110001110001…
…001111100000
3220112211210001
4301301033200
511314444002
61143345344
7215616115
oct61611740
926484701
1013046752
117401244
124452254
13291a594
141a3890c
15122aa87
hexc713e0

13046752 has 48 divisors (see below), whose sum is σ = 28168560. Its totient is φ = 5920768.

The previous prime is 13046731. The next prime is 13046767. The reversal of 13046752 is 25764031.

It is a self number, because there is not a number n which added to its sum of digits gives 13046752.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15363 + ... + 16189.

It is an arithmetic number, because the mean of its divisors is an integer number (586845).

Almost surely, 213046752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13046752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084280).

13046752 is an abundant number, since it is smaller than the sum of its proper divisors (15121808).

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

13046752 is a wasteful number, since it uses less digits than its factorization.

13046752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 13046752 is about 3612.0287927978. The cubic root of 13046752 is about 235.4150023150.

The spelling of 13046752 in words is "thirteen million, forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 827 928 986 1654 1972 3308 3944 6616 7888 13232 14059 15776 23983 26464 28118 47966 56236 95932 112472 191864 224944 383728 407711 449888 767456 815422 1630844 3261688 6523376 13046752