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41350016 = 27378731
BaseRepresentation
bin1001110110111…
…1001110000000
32212210210120002
42131233032000
541041200031
64034135132
71011316661
oct235571600
985723502
1041350016
1121382974
1211a214a8
13874a186
1456c5368
15396bccb
hex276f380

41350016 has 32 divisors (see below), whose sum is σ = 84613080. Its totient is φ = 20113920.

The previous prime is 41349953. The next prime is 41350051. The reversal of 41350016 is 61005314.

41350016 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 (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41350016.

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 3 ways as a sum of consecutive naturals, for example, 371 + ... + 9101.

Almost surely, 241350016 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 41350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42306540).

41350016 is an abundant number, since it is smaller than the sum of its proper divisors (43263064).

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

41350016 is an equidigital number, since it uses as much as digits as its factorization.

41350016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 41350016 is about 6430.3978104002. The cubic root of 41350016 is about 345.8001898013.

The spelling of 41350016 in words is "forty-one million, three hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 8731 17462 34924 69848 139696 279392 323047 558784 646094 1117568 1292188 2584376 5168752 10337504 20675008 41350016