Search a number
-
+
46016790 = 23517233923
BaseRepresentation
bin1010111110001…
…0100100010110
310012120220011120
42233202210112
543240014130
64322144410
71066064511
oct257424426
9105526146
1046016790
1123a80106
12134b2106
1396c2391
14617bd78
15408e910
hex2be2916

46016790 has 64 divisors (see below), whose sum is σ = 122052096. Its totient is φ = 11044352.

The previous prime is 46016743. The next prime is 46016809. The reversal of 46016790 is 9761064.

It is a happy number.

46016790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9769 + ... + 13691.

It is an arithmetic number, because the mean of its divisors is an integer number (1907064).

Almost surely, 246016790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46016790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61026048).

46016790 is an abundant number, since it is smaller than the sum of its proper divisors (76035306).

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

46016790 is a wasteful number, since it uses less digits than its factorization.

46016790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 46016790 is about 6783.5676454208. The cubic root of 46016790 is about 358.3483755479.

The spelling of 46016790 in words is "forty-six million, sixteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1173 1955 2346 3910 3923 5865 7846 11730 11769 19615 23538 39230 58845 66691 90229 117690 133382 180458 200073 270687 333455 400146 451145 541374 666910 902290 1000365 1353435 1533893 2000730 2706870 3067786 4601679 7669465 9203358 15338930 23008395 46016790