Search a number
-
+
46424664 = 23351113167
BaseRepresentation
bin1011000100011…
…0001001011000
310020100121200000
42301012021120
543341042124
64335013000
71102413606
oct261061130
9106317600
1046424664
11242295a0
121366a160
139805c20
146246876
1541206c9
hex2c46258

46424664 has 192 divisors, whose sum is σ = 154103040. Its totient is φ = 12908160.

The previous prime is 46424663. The next prime is 46424711. The reversal of 46424664 is 46642464.

It is a happy number.

46424664 is a `hidden beast` number, since 4 + 642 + 4 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46424663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277909 + ... + 278075.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 246424664 is an apocalyptic number.

46424664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46424664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

46424664 is an abundant number, since it is smaller than the sum of its proper divisors (107678376).

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

46424664 is a wasteful number, since it uses less digits than its factorization.

46424664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 46424664 is about 6813.5647057909. The cubic root of 46424664 is about 359.4040138793.

The spelling of 46424664 in words is "forty-six million, four hundred twenty-four thousand, six hundred sixty-four".