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41053056 = 273119719
BaseRepresentation
bin1001110010011…
…0101110000000
32212020201012120
42130212232000
541002144211
64023524240
71005642132
oct234465600
985221176
1041053056
112119a850
12118b9680
138674c65
145649052
15390dd06
hex2726b80

41053056 has 64 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 12439040.

The previous prime is 41053049. The next prime is 41053063. The reversal of 41053056 is 65035014.

It is an interprime number because it is at equal distance from previous prime (41053049) and next prime (41053063).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 636 + ... + 9083.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 241053056 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 41053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

41053056 is an abundant number, since it is smaller than the sum of its proper divisors (77919744).

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

41053056 is a wasteful number, since it uses less digits than its factorization.

41053056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9735 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 41053056 is about 6407.2658755510. The cubic root of 41053056 is about 344.9703986365.

The spelling of 41053056 in words is "forty-one million, fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 9719 19438 29157 38876 58314 77752 106909 116628 155504 213818 233256 311008 320727 427636 466512 622016 641454 855272 933024 1244032 1282908 1710544 1866048 2565816 3421088 3732096 5131632 6842176 10263264 13684352 20526528 41053056