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41826942 = 23419107127
BaseRepresentation
bin1001111110001…
…1101001111110
32220201000210000
42133203221332
541201430232
64052255130
71015344303
oct237435176
986630700
1041826942
1121679223
12120114a6
138886291
1457ab0aa
153a1327c
hex27e3a7e

41826942 has 80 divisors (see below), whose sum is σ = 100362240. Its totient is φ = 12982032.

The previous prime is 41826931. The next prime is 41826947. The reversal of 41826942 is 24962814.

It is a junction number, because it is equal to n+sod(n) for n = 41826897 and 41826906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41826947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329283 + ... + 329409.

It is an arithmetic number, because the mean of its divisors is an integer number (1254528).

Almost surely, 241826942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41826942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50181120).

41826942 is an abundant number, since it is smaller than the sum of its proper divisors (58535298).

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

41826942 is a wasteful number, since it uses less digits than its factorization.

41826942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41826942 is about 6467.3752017337. The cubic root of 41826942 is about 347.1245832696.

The spelling of 41826942 in words is "forty-one million, eight hundred twenty-six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 107 114 127 162 171 214 254 321 342 381 513 642 762 963 1026 1143 1539 1926 2033 2286 2413 2889 3078 3429 4066 4826 5778 6099 6858 7239 8667 10287 12198 13589 14478 17334 18297 20574 21717 27178 36594 40767 43434 54891 65151 81534 109782 122301 130302 164673 195453 244602 258191 329346 366903 390906 516382 733806 774573 1100709 1549146 2201418 2323719 4647438 6971157 13942314 20913471 41826942