Search a number
-
+
46118016 = 2732721943
BaseRepresentation
bin1010111111101…
…1010010000000
310012210001000200
42233323102000
543301234031
64324245200
71066665600
oct257732200
9105701020
1046118016
112403a16a
1213540800
139729489
1461a6c00
1540ae8e6
hex2bfb480

46118016 has 288 divisors, whose sum is σ = 166280400. Its totient is φ = 12192768.

The previous prime is 46118011. The next prime is 46118029. The reversal of 46118016 is 61081164.

46118016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (46118011) 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 35 ways as a sum of consecutive naturals, for example, 1072491 + ... + 1072533.

Almost surely, 246118016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83140200).

46118016 is an abundant number, since it is smaller than the sum of its proper divisors (120162384).

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

46118016 is a wasteful number, since it uses less digits than its factorization.

46118016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 46118016 is about 6791.0246649530. The cubic root of 46118016 is about 358.6109435289.

The spelling of 46118016 in words is "forty-six million, one hundred eighteen thousand, sixteen".