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2045056 = 27131229
BaseRepresentation
bin111110011010010000000
310211220021211
413303102000
51010420211
6111455504
723245156
oct7632200
93756254
102045056
111177532
12827594
13567ac0
143b33d6
152a5e21
hex1f3480

2045056 has 32 divisors (see below), whose sum is σ = 4391100. Its totient is φ = 943104.

The previous prime is 2045053. The next prime is 2045077. The reversal of 2045056 is 6505402.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 40000 = 1416^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2045053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1050 + ... + 2278.

22045056 is an apocalyptic number.

2045056 is a gapful number since it is divisible by the number (26) 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 2045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195550).

2045056 is an abundant number, since it is smaller than the sum of its proper divisors (2346044).

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

2045056 is a wasteful number, since it uses less digits than its factorization.

2045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2045056 is about 1430.0545444143. The cubic root of 2045056 is about 126.9312046030.

The spelling of 2045056 in words is "two million, forty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1229 1664 2458 4916 9832 15977 19664 31954 39328 63908 78656 127816 157312 255632 511264 1022528 2045056