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2052096 = 2123167
BaseRepresentation
bin111110101000000000000
310212020221120
413311000000
51011131341
6111552240
723304534
oct7650000
93766846
102052096
111181852
1282b680
1356b077
143b5bc4
152a8066
hex1f5000

2052096 has 52 divisors (see below), whose sum is σ = 5504352. Its totient is φ = 679936.

The previous prime is 2052059. The next prime is 2052097. The reversal of 2052096 is 6902502.

It is a super-2 number, since 2×20520962 = 8422195986432, which contains 22 as substring.

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

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052097) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 12205 + ... + 12371.

22052096 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 2052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752176).

2052096 is an abundant number, since it is smaller than the sum of its proper divisors (3452256).

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

2052096 is an equidigital number, since it uses as much as digits as its factorization.

2052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2052096 is about 1432.5138742784. The cubic root of 2052096 is about 127.0766891686.

Adding to 2052096 its reverse (6902502), we get a palindrome (8954598).

The spelling of 2052096 in words is "two million, fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 512 668 768 1002 1024 1336 1536 2004 2048 2672 3072 4008 4096 5344 6144 8016 10688 12288 16032 21376 32064 42752 64128 85504 128256 171008 256512 342016 513024 684032 1026048 2052096