Search a number
-
+
46679850 = 23252722973
BaseRepresentation
bin1011001000010…
…0011100101010
310020211120201100
42302010130222
543422223400
64344302230
71104525600
oct262043452
9106746640
1046679850
1124393298
1213771976
139895119
1462b1870
154171100
hex2c8472a

46679850 has 216 divisors, whose sum is σ = 152986860. Its totient is φ = 10160640.

The previous prime is 46679849. The next prime is 46679863. The reversal of 46679850 is 5897664.

It can be written as a sum of positive squares in 6 ways, for example, as 18896409 + 27783441 = 4347^2 + 5271^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 46679796 and 46679805.

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 107 ways as a sum of consecutive naturals, for example, 639414 + ... + 639486.

Almost surely, 246679850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46679850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76493430).

46679850 is an abundant number, since it is smaller than the sum of its proper divisors (106307010).

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

46679850 is a wasteful number, since it uses less digits than its factorization.

46679850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 46679850 is about 6832.2653636989. The cubic root of 46679850 is about 360.0613321430.

The spelling of 46679850 in words is "forty-six million, six hundred seventy-nine thousand, eight hundred fifty".