Search a number
-
+
713488272 = 243717911863
BaseRepresentation
bin101010100001101…
…111011110010000
31211201112221220120
4222201233132100
52430123111042
6154444310240
723452356510
oct5241573620
91751487816
10713488272
11336822332
1217ab42380
13b4a82913
146aa89840
1542988dec
hex2a86f790

713488272 has 80 divisors (see below), whose sum is σ = 2118435840. Its totient is φ = 202697856.

The previous prime is 713488261. The next prime is 713488289. The reversal of 713488272 is 272884317.

713488272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54213 + ... + 66075.

It is an arithmetic number, because the mean of its divisors is an integer number (26480448).

Almost surely, 2713488272 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 713488272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059217920).

713488272 is an abundant number, since it is smaller than the sum of its proper divisors (1404947568).

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

713488272 is a wasteful number, since it uses less digits than its factorization.

713488272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12060 (or 12054 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 713488272 is about 26711.2012459193. The cubic root of 713488272 is about 893.5707542017.

The spelling of 713488272 in words is "seven hundred thirteen million, four hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 537 716 1074 1253 1432 2148 2506 2864 3759 4296 5012 7518 8592 10024 11863 15036 20048 23726 30072 35589 47452 60144 71178 83041 94904 142356 166082 189808 249123 284712 332164 498246 569424 664328 996492 1328656 1992984 2123477 3985968 4246954 6370431 8493908 12740862 14864339 16987816 25481724 29728678 33975632 44593017 50963448 59457356 89186034 101926896 118914712 178372068 237829424 356744136 713488272