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41826816 = 293229313
BaseRepresentation
bin1001111110001…
…1101000000000
32220201000121100
42133203220000
541201424231
64052254400
71015344033
oct237435000
986630540
1041826816
1121679119
1212011400
1388861c5
1457ab01a
153a131e6
hex27e3a00

41826816 has 120 divisors (see below), whose sum is σ = 125276580. Its totient is φ = 13418496.

The previous prime is 41826803. The next prime is 41826821. The reversal of 41826816 is 61862814.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 4665600 = 6096^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 133476 + ... + 133788.

Almost surely, 241826816 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 41826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62638290).

41826816 is an abundant number, since it is smaller than the sum of its proper divisors (83449764).

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

41826816 is a wasteful number, since it uses less digits than its factorization.

41826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 41826816 is about 6467.3654605256. The cubic root of 41826816 is about 347.1242347084.

The spelling of 41826816 in words is "forty-one million, eight hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 313 348 384 464 512 522 576 626 696 768 928 939 1044 1152 1252 1392 1536 1856 1878 2088 2304 2504 2784 2817 3712 3756 4176 4608 5008 5568 5634 7424 7512 8352 9077 10016 11136 11268 14848 15024 16704 18154 20032 22272 22536 27231 30048 33408 36308 40064 44544 45072 54462 60096 66816 72616 80128 81693 90144 108924 120192 133632 145232 160256 163386 180288 217848 240384 290464 326772 360576 435696 480768 580928 653544 721152 871392 1161856 1307088 1442304 1742784 2323712 2614176 3485568 4647424 5228352 6971136 10456704 13942272 20913408 41826816