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46968012 = 223771359
BaseRepresentation
bin1011001100101…
…0110011001100
310021101020000000
42303022303030
544010434022
64354404300
71110135660
oct263126314
9107336000
1046968012
112456a843
1213890690
139966330
1463488a0
1541cb6ac
hex2ccaccc

46968012 has 192 divisors, whose sum is σ = 154291200. Its totient is φ = 12177216.

The previous prime is 46968011. The next prime is 46968013. The reversal of 46968012 is 21086964.

46968012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46968011) and next prime (46968013).

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

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46968011) 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 63 ways as a sum of consecutive naturals, for example, 796039 + ... + 796097.

It is an arithmetic number, because the mean of its divisors is an integer number (803600).

Almost surely, 246968012 is an apocalyptic number.

46968012 is a gapful number since it is divisible by the number (42) 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 46968012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77145600).

46968012 is an abundant number, since it is smaller than the sum of its proper divisors (107323188).

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

46968012 is a wasteful number, since it uses less digits than its factorization.

46968012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 46968012 is about 6853.3212386404. The cubic root of 46968012 is about 360.8007177105.

The spelling of 46968012 in words is "forty-six million, nine hundred sixty-eight thousand, twelve".