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2623272 = 233109303
BaseRepresentation
bin1010000000011100101000
311221021110020
422000130220
51132421042
6132120440
731204011
oct12003450
94837406
102623272
1115319a3
12a66120
1370b042
144c4008
1536c3ec
hex280728

2623272 has 16 divisors (see below), whose sum is σ = 6558240. Its totient is φ = 874416.

The previous prime is 2623267. The next prime is 2623279. The reversal of 2623272 is 2723262.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 109303 = 2623272 / (2 + 6 + 2 + 3 + 2 + 7 + 2).

It is a d-powerful number, because it can be written as 23 + 64 + 29 + 32 + 219 + 7 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2623279) 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, 54628 + ... + 54675.

It is an arithmetic number, because the mean of its divisors is an integer number (409890).

22623272 is an apocalyptic number.

It is an amenable number.

2623272 is an abundant number, since it is smaller than the sum of its proper divisors (3934968).

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

2623272 is a wasteful number, since it uses less digits than its factorization.

2623272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109312 (or 109308 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 2623272 is about 1619.6518144342. The cubic root of 2623272 is about 137.9159328351.

The spelling of 2623272 in words is "two million, six hundred twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 109303 218606 327909 437212 655818 874424 1311636 2623272