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46131712 = 29118191
BaseRepresentation
bin1010111111111…
…0101000000000
310012210201210221
42233332220000
543302203322
64324432424
71100053534
oct257765000
9105721727
1046131712
1124049490
1213548714
139732793
1461abbc4
1540b39c7
hex2bfea00

46131712 has 40 divisors (see below), whose sum is σ = 100564992. Its totient is φ = 20966400.

The previous prime is 46131707. The next prime is 46131713. The reversal of 46131712 is 21713164.

46131712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (46131713) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1537 + ... + 9727.

Almost surely, 246131712 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 46131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50282496).

46131712 is an abundant number, since it is smaller than the sum of its proper divisors (54433280).

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

46131712 is an equidigital number, since it uses as much as digits as its factorization.

46131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 8204 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 46131712 is about 6792.0329798964. The cubic root of 46131712 is about 358.6464397752.

Adding to 46131712 its reverse (21713164), we get a palindrome (67844876).

The spelling of 46131712 in words is "forty-six million, one hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 8191 16382 32764 65528 90101 131056 180202 262112 360404 524224 720808 1048448 1441616 2096896 2883232 4193792 5766464 11532928 23065856 46131712