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2504768 = 2675591
BaseRepresentation
bin1001100011100001000000
311201020220012
421203201000
51120123033
6125404052
730201350
oct11434100
94636805
102504768
111460962
12a09628
13699116
14492b60
15347248
hex263840

2504768 has 28 divisors (see below), whose sum is σ = 5681472. Its totient is φ = 1073280.

The previous prime is 2504767. The next prime is 2504779. The reversal of 2504768 is 8674052.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2504767) 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, 2348 + ... + 3243.

22504768 is an apocalyptic number.

2504768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2504768 is an abundant number, since it is smaller than the sum of its proper divisors (3176704).

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

2504768 is an equidigital number, since it uses as much as digits as its factorization.

2504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2504768 is about 1582.6458858507. The cubic root of 2504768 is about 135.8071083232.

The spelling of 2504768 in words is "two million, five hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 5591 11182 22364 39137 44728 78274 89456 156548 178912 313096 357824 626192 1252384 2504768