Search a number
-
+
5472956300 = 2252710617369
BaseRepresentation
bin1010001100011011…
…01010111110001100
3112010102022222122012
411012031222332030
542202034100200
62303024240352
7252424234550
oct50615527614
915112288565
105472956300
112359383089
121088a700b8
13692b354a6
1439cc17860
1522072ba35
hex14636af8c

5472956300 has 72 divisors (see below), whose sum is σ = 13587567840. Its totient is φ = 1874419200.

The previous prime is 5472956273. The next prime is 5472956303. The reversal of 5472956300 is 36592745.

It is not an unprimeable number, because it can be changed into a prime (5472956303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739016 + ... + 746384.

It is an arithmetic number, because the mean of its divisors is an integer number (188716220).

Almost surely, 25472956300 is an apocalyptic number.

5472956300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5472956300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793783920).

5472956300 is an abundant number, since it is smaller than the sum of its proper divisors (8114611540).

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

5472956300 is a wasteful number, since it uses less digits than its factorization.

5472956300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 5472956300 is about 73979.4316009524. The cubic root of 5472956300 is about 1762.2762709156.

The spelling of 5472956300 in words is "five billion, four hundred seventy-two million, nine hundred fifty-six thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1061 2122 4244 5305 7369 7427 10610 14738 14854 21220 26525 29476 29708 36845 37135 51583 53050 73690 74270 103166 106100 147380 148540 184225 185675 206332 257915 368450 371350 515830 736900 742700 1031660 1289575 2579150 5158300 7818509 15637018 31274036 39092545 54729563 78185090 109459126 156370180 195462725 218918252 273647815 390925450 547295630 781850900 1094591260 1368239075 2736478150 5472956300