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5318928 = 243243859
BaseRepresentation
bin10100010010100100010000
3101000020012100
4110102210100
52330201203
6310000400
763132036
oct24224420
911006170
105318928
11300320a
121946100
131142cc4
149c6556
15700ea3
hex512910

5318928 has 60 divisors (see below), whose sum is σ = 15249520. Its totient is φ = 1729728.

The previous prime is 5318927. The next prime is 5318933. The reversal of 5318928 is 8298135.

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 = 5318892 and 5318901.

It is not an unprimeable number, because it can be changed into a prime (5318923) 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 11 ways as a sum of consecutive naturals, for example, 5763 + ... + 6621.

Almost surely, 25318928 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 5318928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624760).

5318928 is an abundant number, since it is smaller than the sum of its proper divisors (9930592).

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

5318928 is a wasteful number, since it uses less digits than its factorization.

5318928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 907 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5318928 is about 2306.2801217545. The cubic root of 5318928 is about 174.5586483871.

It can be divided in two parts, 53 and 18928, that added together give a palindrome (18981).

The spelling of 5318928 in words is "five million, three hundred eighteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 859 1032 1548 1718 2064 2577 3096 3436 5154 6192 6872 7731 10308 13744 15462 20616 30924 36937 41232 61848 73874 110811 123696 147748 221622 295496 332433 443244 590992 664866 886488 1329732 1772976 2659464 5318928