Search a number
-
+
40546016 = 257315839
BaseRepresentation
bin1001101010101…
…0111011100000
32211021221200022
42122222323200
540334433031
64005013012
71001430650
oct232527340
984257608
1040546016
1120983905
12116b4168
138528234
145556360
15385d97b
hex26aaee0

40546016 has 48 divisors (see below), whose sum is σ = 94187520. Its totient is φ = 16813440.

The previous prime is 40546001. The next prime is 40546021. The reversal of 40546016 is 61064504.

It is a happy number.

40546016 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 7 ways as a sum of consecutive naturals, for example, 4025 + ... + 9863.

It is an arithmetic number, because the mean of its divisors is an integer number (1962240).

Almost surely, 240546016 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 40546016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093760).

40546016 is an abundant number, since it is smaller than the sum of its proper divisors (53641504).

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

40546016 is a wasteful number, since it uses less digits than its factorization.

40546016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 40546016 is about 6367.5753627264. The cubic root of 40546016 is about 343.5442856879.

The spelling of 40546016 in words is "forty million, five hundred forty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 5839 6944 11678 23356 40873 46712 81746 93424 163492 181009 186848 326984 362018 653968 724036 1267063 1307936 1448072 2534126 2896144 5068252 5792288 10136504 20273008 40546016