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5303728 = 241723137
BaseRepresentation
bin10100001110110110110000
3100222110100101
4110032312300
52324204403
6305402144
763036523
oct24166660
910873311
105303728
112aa2851
121939354
131139101
149c0bba
156eb71d
hex50edb0

5303728 has 60 divisors (see below), whose sum is σ = 11572672. Its totient is φ = 2350080.

The previous prime is 5303713. The next prime is 5303729. The reversal of 5303728 is 8273035.

It is a junction number, because it is equal to n+sod(n) for n = 5303696 and 5303705.

It is not an unprimeable number, because it can be changed into a prime (5303729) 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 11 ways as a sum of consecutive naturals, for example, 143326 + ... + 143362.

Almost surely, 25303728 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 5303728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786336).

5303728 is an abundant number, since it is smaller than the sum of its proper divisors (6268944).

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

5303728 is a wasteful number, since it uses less digits than its factorization.

5303728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 5303728 is about 2302.9824141751. The cubic root of 5303728 is about 174.3922099037.

The spelling of 5303728 in words is "five million, three hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 31 34 37 62 68 74 124 136 148 248 272 289 296 496 527 578 592 629 1054 1147 1156 1258 2108 2294 2312 2516 4216 4588 4624 5032 8432 8959 9176 10064 10693 17918 18352 19499 21386 35836 38998 42772 71672 77996 85544 143344 155992 171088 311984 331483 662966 1325932 2651864 5303728