Search a number
-
+
8472563540 = 225729778849
BaseRepresentation
bin1111110010000000…
…10000111101010100
3210212110121211012122
413321000100331110
5114322434013130
63520420235112
7416646413300
oct77100207524
923773554178
108472563540
1136585a5431
12178553ba98
13a5041000c
145a535ad00
15348c442e5
hex1f9010f54

8472563540 has 72 divisors (see below), whose sum is σ = 20720788200. Its totient is φ = 2901577728.

The previous prime is 8472563537. The next prime is 8472563629. The reversal of 8472563540 is 453652748.

It can be written as a sum of positive squares in 4 ways, for example, as 389115076 + 8083448464 = 19726^2 + 89908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8472563491 and 8472563500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953036 + ... + 961884.

It is an arithmetic number, because the mean of its divisors is an integer number (287788725).

Almost surely, 28472563540 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 8472563540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360394100).

8472563540 is an abundant number, since it is smaller than the sum of its proper divisors (12248224660).

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

8472563540 is a wasteful number, since it uses less digits than its factorization.

8472563540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The square root of 8472563540 is about 92046.5292121327. The cubic root of 8472563540 is about 2038.6293769621.

The spelling of 8472563540 in words is "eight billion, four hundred seventy-two million, five hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 977 980 1954 3908 4885 6839 8849 9770 13678 17698 19540 27356 34195 35396 44245 47873 61943 68390 88490 95746 123886 136780 176980 191492 239365 247772 309715 433601 478730 619430 867202 957460 1238860 1734404 2168005 4336010 8645473 8672020 17290946 34581892 43227365 60518311 86454730 121036622 172909460 242073244 302591555 423628177 605183110 847256354 1210366220 1694512708 2118140885 4236281770 8472563540