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5408928 = 253272683
BaseRepresentation
bin10100101000100010100000
3101011210122200
4110220202200
52341041203
6311533200
763655320
oct24504240
911153580
105408928
113064898
12198a200
131174c65
14a0b280
1571c9a3
hex5288a0

5408928 has 72 divisors (see below), whose sum is σ = 17585568. Its totient is φ = 1544832.

The previous prime is 5408917. The next prime is 5408947. The reversal of 5408928 is 8298045.

5408928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 5408892 and 5408901.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 675 + ... + 3357.

It is an arithmetic number, because the mean of its divisors is an integer number (244244).

Almost surely, 25408928 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 5408928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792784).

5408928 is an abundant number, since it is smaller than the sum of its proper divisors (12176640).

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

5408928 is a wasteful number, since it uses less digits than its factorization.

5408928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5408928 is about 2325.7102141067. The cubic root of 5408928 is about 175.5376985760.

It can be divided in two parts, 5408 and 928, that added together give a palindrome (6336).

The spelling of 5408928 in words is "five million, four hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2683 5366 8049 10732 16098 18781 21464 24147 32196 37562 42928 48294 56343 64392 75124 85856 96588 112686 128784 150248 169029 193176 225372 257568 300496 338058 386352 450744 600992 676116 772704 901488 1352232 1802976 2704464 5408928