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2538288 = 243217627
BaseRepresentation
bin1001101011101100110000
311202221212200
421223230300
51122211123
6130223200
730401154
oct11535460
94687780
102538288
111484065
12a24b00
136ab45c
144a1064
15352143
hex26bb30

2538288 has 30 divisors (see below), whose sum is σ = 7104084. Its totient is φ = 846048.

The previous prime is 2538281. The next prime is 2538293. The reversal of 2538288 is 8828352.

2538288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2538281) 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 5 ways as a sum of consecutive naturals, for example, 8670 + ... + 8957.

22538288 is an apocalyptic number.

It is an amenable number.

2538288 is an abundant number, since it is smaller than the sum of its proper divisors (4565796).

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

2538288 is a wasteful number, since it uses less digits than its factorization.

2538288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17641 (or 17632 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2538288 is about 1593.2005523474. The cubic root of 2538288 is about 136.4102376483.

Subtracting 2538288 from its reverse (8828352), we obtain a square (6290064 = 25082).

The spelling of 2538288 in words is "two million, five hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 17627 35254 52881 70508 105762 141016 158643 211524 282032 317286 423048 634572 846096 1269144 2538288