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2641056 = 253114161
BaseRepresentation
bin1010000100110010100000
311222011211220
422010302200
51134003211
6132335040
731306605
oct12046240
94864756
102641056
1115442a0
12a74480
13716172
144ca6ac
15372806
hex284ca0

2641056 has 96 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 768000.

The previous prime is 2641039. The next prime is 2641061. The reversal of 2641056 is 6501462.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43266 + ... + 43326.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

22641056 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 2641056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2641056 is an abundant number, since it is smaller than the sum of its proper divisors (5233440).

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

2641056 is a wasteful number, since it uses less digits than its factorization.

2641056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2641056 is about 1625.1326099737. The cubic root of 2641056 is about 138.2268899390.

It can be divided in two parts, 264 and 1056, that multiplied together give a square (278784 = 5282).

The spelling of 2641056 in words is "two million, six hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 61 66 82 88 96 122 123 132 164 176 183 244 246 264 328 352 366 451 488 492 528 656 671 732 902 976 984 1056 1312 1342 1353 1464 1804 1952 1968 2013 2501 2684 2706 2928 3608 3936 4026 5002 5368 5412 5856 7216 7503 8052 10004 10736 10824 14432 15006 16104 20008 21472 21648 27511 30012 32208 40016 43296 55022 60024 64416 80032 82533 110044 120048 165066 220088 240096 330132 440176 660264 880352 1320528 2641056