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41106736 = 2411311751
BaseRepresentation
bin1001110011001…
…1110100110000
32212100102211201
42130303310300
541010403421
64025020544
71006254466
oct234636460
985312751
1041106736
1121227110
1211924754
138693518
145660836
15391eb91
hex2733d30

41106736 has 40 divisors (see below), whose sum is σ = 87280128. Its totient is φ = 18600000.

The previous prime is 41106733. The next prime is 41106739. The reversal of 41106736 is 63760114.

41106736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41106733) and next prime (41106739).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (41106733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54361 + ... + 55111.

Almost surely, 241106736 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 41106736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43640064).

41106736 is an abundant number, since it is smaller than the sum of its proper divisors (46173392).

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

41106736 is a wasteful number, since it uses less digits than its factorization.

41106736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 41106736 is about 6411.4535013521. The cubic root of 41106736 is about 345.1206915129.

The spelling of 41106736 in words is "forty-one million, one hundred six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 311 622 751 1244 1502 2488 3004 3421 4976 6008 6842 8261 12016 13684 16522 27368 33044 54736 66088 132176 233561 467122 934244 1868488 2569171 3736976 5138342 10276684 20553368 41106736