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41056416 = 2533194161
BaseRepresentation
bin1001110010011…
…1100010100000
32212020212211000
42130213202200
541002301131
64023552000
71005655002
oct234474240
985225730
1041056416
11211a2325
12118bb600
13867664b
14564a372
15390ece6
hex27278a0

41056416 has 192 divisors, whose sum is σ = 131241600. Its totient is φ = 12441600.

The previous prime is 41056409. The next prime is 41056417. The reversal of 41056416 is 61465014.

41056416 is a `hidden beast` number, since 4 + 10 + 5 + 641 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 41056416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41056417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 673026 + ... + 673086.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 241056416 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 41056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

41056416 is an abundant number, since it is smaller than the sum of its proper divisors (90185184).

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

41056416 is a wasteful number, since it uses less digits than its factorization.

41056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 41056416 is about 6407.5280725097. The cubic root of 41056416 is about 344.9798097825.

The spelling of 41056416 in words is "forty-one million, fifty-six thousand, four hundred sixteen".