Search a number
-
+
46042416 = 2432745677
BaseRepresentation
bin1010111110100…
…0110100110000
310012122012022200
42233220310300
543241324131
64322503200
71066232310
oct257506460
9105565280
1046042416
1123a98392
1213504b00
139700c44
146187440
1540972e6
hex2be8d30

46042416 has 60 divisors (see below), whose sum is σ = 147265872. Its totient is φ = 13154688.

The previous prime is 46042397. The next prime is 46042417. The reversal of 46042416 is 61424064.

46042416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×460424162 = 4239808142234112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46042416.

It is not an unprimeable number, because it can be changed into a prime (46042417) 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 11 ways as a sum of consecutive naturals, for example, 21831 + ... + 23846.

Almost surely, 246042416 is an apocalyptic number.

It is an amenable number.

46042416 is an abundant number, since it is smaller than the sum of its proper divisors (101223456).

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

46042416 is a wasteful number, since it uses less digits than its factorization.

46042416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45698 (or 45689 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 46042416 is about 6785.4562116338. The cubic root of 46042416 is about 358.4148826595.

The spelling of 46042416 in words is "forty-six million, forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 45677 91354 137031 182708 274062 319739 365416 411093 548124 639478 730832 822186 959217 1096248 1278956 1644372 1918434 2192496 2557912 2877651 3288744 3836868 5115824 5755302 6577488 7673736 11510604 15347472 23021208 46042416