Search a number
-
+
728317997 = 112533372
BaseRepresentation
bin101011011010010…
…100000000101101
31212202110101110122
4223122110000231
52442422133442
6200134214325
724022413041
oct5332240055
91782411418
10728317997
11344131100
12183ab43a5
13b7b758c4
146ca2a021
1543e17dd2
hex2b69402d

728317997 has 18 divisors (see below), whose sum is σ = 818080074. Its totient is φ = 647687040.

The previous prime is 728317987. The next prime is 728318009. The reversal of 728317997 is 799713827.

It can be written as a sum of positive squares in 3 ways, for example, as 50965321 + 677352676 = 7139^2 + 26026^2 .

It is a de Polignac number, because none of the positive numbers 2k-728317997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728317907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2161013 + ... + 2161349.

It is an arithmetic number, because the mean of its divisors is an integer number (45448893).

Almost surely, 2728317997 is an apocalyptic number.

It is an amenable number.

728317997 is a deficient number, since it is larger than the sum of its proper divisors (89762077).

728317997 is an equidigital number, since it uses as much as digits as its factorization.

728317997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 401 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 53.

The square root of 728317997 is about 26987.3673595629. The cubic root of 728317997 is about 899.7192527616.

Multiplying 728317997 by its sum of digits (53), we get a square (38600853841 = 1964712).

728317997 divided by its sum of digits (53) gives a square (13741849 = 37072).

The spelling of 728317997 in words is "seven hundred twenty-eight million, three hundred seventeen thousand, nine hundred ninety-seven".

Divisors: 1 11 53 121 337 583 3707 6413 17861 40777 113569 196471 1249259 2161181 6019157 13741849 66210727 728317997