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46085130 = 232571317331
BaseRepresentation
bin1010111111001…
…1010000001010
310012201100220200
42233303100022
543244211010
64323433030
71066500660
oct257632012
9105640820
1046085130
1124017493
1213525776
139717510
146198c30
1540a4cc0
hex2bf340a

46085130 has 192 divisors, whose sum is σ = 156619008. Its totient is φ = 9123840.

The previous prime is 46085111. The next prime is 46085141. The reversal of 46085130 is 3158064.

46085130 is a `hidden beast` number, since 4 + 608 + 51 + 3 + 0 = 666.

46085130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 46085094 and 46085103.

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 95 ways as a sum of consecutive naturals, for example, 139065 + ... + 139395.

It is an arithmetic number, because the mean of its divisors is an integer number (815724).

Almost surely, 246085130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46085130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78309504).

46085130 is an abundant number, since it is smaller than the sum of its proper divisors (110533878).

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

46085130 is a wasteful number, since it uses less digits than its factorization.

46085130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 46085130 is about 6788.6029490610. The cubic root of 46085130 is about 358.5256834012.

The spelling of 46085130 in words is "forty-six million, eighty-five thousand, one hundred thirty".