Search a number
-
+
46622016 = 2632731373
BaseRepresentation
bin1011000111011…
…0010101000000
310020201122101100
42301312111000
543413401031
64343134400
71104165150
oct261662500
9106648340
1046622016
11243538a1
1213744400
1398749bc
146298760
15415dde6
hex2c76540

46622016 has 168 divisors, whose sum is σ = 158073344. Its totient is φ = 12856320.

The previous prime is 46622003. The next prime is 46622021. The reversal of 46622016 is 61022664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×466220162 = 4347224751808512, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 124806 + ... + 125178.

Almost surely, 246622016 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 46622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79036672).

46622016 is an abundant number, since it is smaller than the sum of its proper divisors (111451328).

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

46622016 is a wasteful number, since it uses less digits than its factorization.

46622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46622016 is about 6828.0316343731. The cubic root of 46622016 is about 359.9125713616.

The spelling of 46622016 in words is "forty-six million, six hundred twenty-two thousand, sixteen".