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2085252 = 2231313367
BaseRepresentation
bin111111101000110000100
310220221102120
413331012010
51013212002
6112405540
723503311
oct7750604
93827376
102085252
1111a4754
128468b0
135801a0
143c3d08
152b2cbc
hex1fd184

2085252 has 24 divisors (see below), whose sum is σ = 5240256. Its totient is φ = 641568.

The previous prime is 2085247. The next prime is 2085253. The reversal of 2085252 is 2525802.

2085252 is a modest number, since divided by 5252 gives 208 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2085253) by changing a digit.

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, 6528 + ... + 6839.

It is an arithmetic number, because the mean of its divisors is an integer number (218344).

22085252 is an apocalyptic number.

It is an amenable number.

2085252 is an abundant number, since it is smaller than the sum of its proper divisors (3155004).

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

2085252 is a wasteful number, since it uses less digits than its factorization.

2085252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13387 (or 13385 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2085252 is about 1444.0401656464. The cubic root of 2085252 is about 127.7574344985.

It can be divided in two parts, 208 and 5252, that added together give a triangular number (5460 = T104).

The spelling of 2085252 in words is "two million, eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 13367 26734 40101 53468 80202 160404 173771 347542 521313 695084 1042626 2085252