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2084256 = 25327237
BaseRepresentation
bin111111100110110100000
310220220001200
413330312200
51013144011
6112401200
723500356
oct7746640
93826050
102084256
1111a3a29
12846200
1357c8b5
143c37d6
152b2856
hex1fcda0

2084256 has 36 divisors (see below), whose sum is σ = 5927922. Its totient is φ = 694656.

The previous prime is 2084249. The next prime is 2084263. The reversal of 2084256 is 6524802.

It is an interprime number because it is at equal distance from previous prime (2084249) and next prime (2084263).

It can be written as a sum of positive squares in only one way, i.e., 1648656 + 435600 = 1284^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3331 + ... + 3906.

22084256 is an apocalyptic number.

It is an amenable number.

2084256 is an abundant number, since it is smaller than the sum of its proper divisors (3843666).

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

2084256 is a wasteful number, since it uses less digits than its factorization.

2084256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2084256 is about 1443.6952587025. The cubic root of 2084256 is about 127.7370905674.

The spelling of 2084256 in words is "two million, eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7237 14474 21711 28948 43422 57896 65133 86844 115792 130266 173688 231584 260532 347376 521064 694752 1042128 2084256