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41068764 = 223211137757
BaseRepresentation
bin1001110010101…
…0100011011100
32212021111202100
42130222203130
541003200024
64024125100
71006036002
oct234524334
985244670
1041068764
1121200630
1211906790
13867c159
145650a72
1539137c9
hex272a8dc

41068764 has 72 divisors (see below), whose sum is σ = 114227568. Its totient is φ = 12337920.

The previous prime is 41068759. The next prime is 41068771. The reversal of 41068764 is 46786014.

41068764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53874 + ... + 54630.

It is an arithmetic number, because the mean of its divisors is an integer number (1586494).

Almost surely, 241068764 is an apocalyptic number.

41068764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41068764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57113784).

41068764 is an abundant number, since it is smaller than the sum of its proper divisors (73158804).

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

41068764 is a wasteful number, since it uses less digits than its factorization.

41068764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 41068764 is about 6408.4915541803. The cubic root of 41068764 is about 345.0143913341.

The spelling of 41068764 in words is "forty-one million, sixty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 396 411 548 757 822 1233 1507 1514 1644 2271 2466 3014 3028 4521 4542 4932 6028 6813 8327 9042 9084 13563 13626 16654 18084 24981 27126 27252 33308 49962 54252 74943 99924 103709 149886 207418 299772 311127 414836 622254 933381 1140799 1244508 1866762 2281598 3422397 3733524 4563196 6844794 10267191 13689588 20534382 41068764