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2005056 = 2632592
BaseRepresentation
bin111101001100001000000
310202212102100
413221201000
51003130211
6110550400
723020434
oct7514100
93685370
102005056
11114a479
12808400
13552831
143a29c4
15299156
hex1e9840

2005056 has 63 divisors (see below), whose sum is σ = 5846191. Its totient is φ = 657024.

The previous prime is 2005039. The next prime is 2005057. The reversal of 2005056 is 6505002.

The square root of 2005056 is 1416.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005057) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33955 + ... + 34013.

22005056 is an apocalyptic number.

2005056 is the 1416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005056

2005056 is an abundant number, since it is smaller than the sum of its proper divisors (3841135).

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

2005056 is an equidigital number, since it uses as much as digits as its factorization.

2005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The cubic root of 2005056 is about 126.0981849967.

The spelling of 2005056 in words is "two million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3481 3776 4248 5664 6962 8496 10443 11328 13924 16992 20886 27848 31329 33984 41772 55696 62658 83544 111392 125316 167088 222784 250632 334176 501264 668352 1002528 2005056