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2796032 = 2943127
BaseRepresentation
bin1010101010101000000000
312021001102202
422222220000
51203433112
6135532332
732523461
oct12525000
95231382
102796032
11163a778
12b2a0a8
1376b875
1452ad68
153a36c2
hex2aaa00

2796032 has 40 divisors (see below), whose sum is σ = 5761536. Its totient is φ = 1354752.

The previous prime is 2796019. The next prime is 2796037. The reversal of 2796032 is 2306972.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 2795986 and 2796004.

It is not an unprimeable number, because it can be changed into a prime (2796037) 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, 21953 + ... + 22079.

22796032 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 2796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880768).

2796032 is an abundant number, since it is smaller than the sum of its proper divisors (2965504).

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

2796032 is an equidigital number, since it uses as much as digits as its factorization.

2796032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 2796032 is about 1672.1339659250. The cubic root of 2796032 is about 140.8793629716.

The spelling of 2796032 in words is "two million, seven hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 127 128 172 254 256 344 508 512 688 1016 1376 2032 2752 4064 5461 5504 8128 10922 11008 16256 21844 22016 32512 43688 65024 87376 174752 349504 699008 1398016 2796032