Search a number
-
+
8069428900 = 22521326912
BaseRepresentation
bin1111000001111100…
…11011011010100100
3202211101001110110001
413200332123122210
5113011233211100
63412415511044
7403653004531
oct74076333244
922741043401
108069428900
113470a89405
121692528484
139b7a41a00
145679bbd88
15323661d6a
hex1e0f9b6a4

8069428900 has 81 divisors (see below), whose sum is σ = 18988728003. Its totient is φ = 2975169600.

The previous prime is 8069428849. The next prime is 8069428903. The reversal of 8069428900 is 98249608.

The square root of 8069428900 is 89830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2079907236 + 5989521664 = 45606^2 + 77392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8069428903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11677555 + ... + 11678245.

Almost surely, 28069428900 is an apocalyptic number.

8069428900 is the 89830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8069428900

8069428900 is an abundant number, since it is smaller than the sum of its proper divisors (10919299103).

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

8069428900 is a wasteful number, since it uses less digits than its factorization.

8069428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The cubic root of 8069428900 is about 2005.7690844980.

The spelling of 8069428900 in words is "eight billion, sixty-nine million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 691 845 1300 1382 1690 2764 3380 3455 4225 6910 8450 8983 13820 16900 17275 17966 34550 35932 44915 69100 89830 116779 179660 224575 233558 449150 467116 477481 583895 898300 954962 1167790 1909924 2335580 2387405 2919475 4774810 5838950 6207253 9549620 11677900 11937025 12414506 23874050 24829012 31036265 47748100 62072530 80694289 124145060 155181325 161388578 310362650 322777156 403471445 620725300 806942890 1613885780 2017357225 4034714450 8069428900