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41199642 = 23211251829
BaseRepresentation
bin1001110100101…
…0100000011010
32212112011021200
42131022200122
541021342032
64031015030
71010122401
oct235124032
985464250
1041199642
112128a9a0
121196a476
1386c68b3
145686638
15393c47c
hex274a81a

41199642 has 48 divisors (see below), whose sum is σ = 97886880. Its totient is φ = 12420000.

The previous prime is 41199637. The next prime is 41199659. The reversal of 41199642 is 24699114.

It is a happy number.

41199642 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 9 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41199597 and 41199606.

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 23 ways as a sum of consecutive naturals, for example, 49284 + ... + 50112.

It is an arithmetic number, because the mean of its divisors is an integer number (2039310).

Almost surely, 241199642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41199642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48943440).

41199642 is an abundant number, since it is smaller than the sum of its proper divisors (56687238).

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

41199642 is a wasteful number, since it uses less digits than its factorization.

41199642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1096 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 41199642 is about 6418.6947271233. The cubic root of 41199642 is about 345.3805001672.

The spelling of 41199642 in words is "forty-one million, one hundred ninety-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 251 502 753 829 1506 1658 2259 2487 2761 4518 4974 5522 7461 8283 9119 14922 16566 18238 24849 27357 49698 54714 82071 164142 208079 416158 624237 1248474 1872711 2288869 3745422 4577738 6866607 13733214 20599821 41199642