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41036864 = 261171821
BaseRepresentation
bin1001110010001…
…0110001000000
32212012212222212
42130202301000
541001134424
64023321252
71005544001
oct234426100
985185885
1041036864
1121189670
12118b0228
13866a78b
1456431a8
15390910e
hex2722c40

41036864 has 56 divisors (see below), whose sum is σ = 90196416. Its totient is φ = 18368000.

The previous prime is 41036813. The next prime is 41036909. The reversal of 41036864 is 46863014.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41036864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49574 + ... + 50394.

Almost surely, 241036864 is an apocalyptic number.

41036864 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 41036864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45098208).

41036864 is an abundant number, since it is smaller than the sum of its proper divisors (49159552).

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

41036864 is a wasteful number, since it uses less digits than its factorization.

41036864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 41036864 is about 6406.0021854508. The cubic root of 41036864 is about 344.9250386741.

Adding to 41036864 its reverse (46863014), we get a palindrome (87899878).

The spelling of 41036864 in words is "forty-one million, thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 142 176 284 352 568 704 781 821 1136 1562 1642 2272 3124 3284 4544 6248 6568 9031 12496 13136 18062 24992 26272 36124 49984 52544 58291 72248 116582 144496 233164 288992 466328 577984 641201 932656 1282402 1865312 2564804 3730624 5129608 10259216 20518432 41036864