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41890816 = 210113719
BaseRepresentation
bin1001111111001…
…1010000000000
32220211021101201
42133303100000
541211001231
64053510544
71016031442
oct237632000
986737351
1041890816
1121712210
1212042454
1388a9386
1457c6492
153a27161
hex27f3400

41890816 has 44 divisors (see below), whose sum is σ = 91378080. Its totient is φ = 19036160.

The previous prime is 41890813. The next prime is 41890859. The reversal of 41890816 is 61809814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41890811) 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 3 ways as a sum of consecutive naturals, for example, 9405 + ... + 13123.

Almost surely, 241890816 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 41890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45689040).

41890816 is an abundant number, since it is smaller than the sum of its proper divisors (49487264).

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

41890816 is a wasteful number, since it uses less digits than its factorization.

41890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 41890816 is about 6472.3114881779. The cubic root of 41890816 is about 347.3011915968.

The spelling of 41890816 in words is "forty-one million, eight hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 3719 5632 7438 11264 14876 29752 40909 59504 81818 119008 163636 238016 327272 476032 654544 952064 1309088 1904128 2618176 3808256 5236352 10472704 20945408 41890816