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40549216 = 2517131569
BaseRepresentation
bin1001101010101…
…1101101100000
32211022010001211
42122223231200
540340033331
64005035504
71001443201
oct232535540
984263054
1040549216
1120986254
12116b5b94
138529826
1455575a8
15385e8b1
hex26abb60

40549216 has 48 divisors (see below), whose sum is σ = 85322160. Its totient is φ = 18903040.

The previous prime is 40549213. The next prime is 40549231. The reversal of 40549216 is 61294504.

40549216 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 not an unprimeable number, because it can be changed into a prime (40549213) 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 7 ways as a sum of consecutive naturals, for example, 70980 + ... + 71548.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 240549216 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 40549216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42661080).

40549216 is an abundant number, since it is smaller than the sum of its proper divisors (44772944).

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

40549216 is a wasteful number, since it uses less digits than its factorization.

40549216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 40549216 is about 6367.8266308058. The cubic root of 40549216 is about 343.5533232614.

The spelling of 40549216 in words is "forty million, five hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 131 136 262 272 524 544 569 1048 1138 2096 2227 2276 4192 4454 4552 8908 9104 9673 17816 18208 19346 35632 38692 71264 74539 77384 149078 154768 298156 309536 596312 1192624 1267163 2385248 2534326 5068652 10137304 20274608 40549216