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41789696 = 281329433
BaseRepresentation
bin1001111101101…
…0100100000000
32220122010200112
42133122210000
541144232241
64051410452
71015130564
oct237324400
986563615
1041789696
1121653243
1211bb3a28
138872340
14579b6a4
153a071eb
hex27da900

41789696 has 72 divisors (see below), whose sum is σ = 93145080. Its totient is φ = 18579456.

The previous prime is 41789681. The next prime is 41789717. The reversal of 41789696 is 69698714.

It can be written as a sum of positive squares in 4 ways, for example, as 6400 + 41783296 = 80^2 + 6464^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 96296 + ... + 96728.

Almost surely, 241789696 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 41789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46572540).

41789696 is an abundant number, since it is smaller than the sum of its proper divisors (51355384).

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

41789696 is a wasteful number, since it uses less digits than its factorization.

41789696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its digits is 653184, while the sum is 50.

The square root of 41789696 is about 6464.4950305496. The cubic root of 41789696 is about 347.0215169908.

The spelling of 41789696 in words is "forty-one million, seven hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 433 464 754 832 866 928 1508 1664 1732 1856 3016 3328 3464 3712 5629 6032 6928 7424 11258 12064 12557 13856 22516 24128 25114 27712 45032 48256 50228 55424 90064 96512 100456 110848 163241 180128 200912 326482 360256 401824 652964 720512 803648 1305928 1441024 1607296 2611856 3214592 5223712 10447424 20894848 41789696