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5393024 = 27713463
BaseRepresentation
bin10100100100101010000000
3101010222211122
4110210222000
52340034044
6311331412
763561050
oct24445200
911128748
105393024
11305394a
121980b68
13116a950
14a05560
15717dee
hex524a80

5393024 has 64 divisors (see below), whose sum is σ = 13251840. Its totient is φ = 2128896.

The previous prime is 5392991. The next prime is 5393033. The reversal of 5393024 is 4203935.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 5392984 and 5393002.

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 7 ways as a sum of consecutive naturals, for example, 11417 + ... + 11879.

It is an arithmetic number, because the mean of its divisors is an integer number (207060).

Almost surely, 25393024 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 5393024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625920).

5393024 is an abundant number, since it is smaller than the sum of its proper divisors (7858816).

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

5393024 is a wasteful number, since it uses less digits than its factorization.

5393024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 5393024 is about 2322.2885264325. The cubic root of 5393024 is about 175.3654837825.

Adding to 5393024 its reverse (4203935), we get a palindrome (9596959).

The spelling of 5393024 in words is "five million, three hundred ninety-three thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 463 728 832 896 926 1456 1664 1852 2912 3241 3704 5824 6019 6482 7408 11648 12038 12964 14816 24076 25928 29632 42133 48152 51856 59264 84266 96304 103712 168532 192608 207424 337064 385216 414848 674128 770432 1348256 2696512 5393024