Search a number
-
+
284299040809 = 721942112
BaseRepresentation
bin1000010001100011000…
…10110001100000101001
31000011211021210122211001
410020301202301200221
514124221023301214
6334334415035001
726353123655200
oct4106142614051
91004737718731
10284299040809
11aa630440273
124712320ba61
1320a69cc8a04
14da8dbb4237
1575de087c74
hex42318b1829

284299040809 has 45 divisors (see below), whose sum is σ = 350750424141. Its totient is φ = 229765251240.

The previous prime is 284299040797. The next prime is 284299040821. The reversal of 284299040809 is 908040992482.

The square root of 284299040809 is 533197.

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

It is an interprime number because it is at equal distance from previous prime (284299040797) and next prime (284299040821).

It is not a de Polignac number, because 284299040809 - 215 = 284299008041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 284299040809.

It is not an unprimeable number, because it can be changed into a prime (284299040869) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1347388714 + ... + 1347388924.

Almost surely, 2284299040809 is an apocalyptic number.

284299040809 is the 533197-th square number.

284299040809 is the 266599-th centered octagonal number.

It is an amenable number.

284299040809 is a deficient number, since it is larger than the sum of its proper divisors (66451383332).

284299040809 is an frugal number, since it uses more digits than its factorization.

284299040809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 284299040809 in words is "two hundred eighty-four billion, two hundred ninety-nine million, forty thousand, eight hundred nine".

Divisors: 1 7 19 49 133 211 361 931 1477 2527 4009 6859 10339 17689 28063 44521 48013 76171 130321 196441 311647 336091 533197 845899 912247 1447249 2181529 3732379 5921293 6385729 10130743 16072081 27497731 41449051 70915201 112504567 192484117 305369539 787531969 1347388819 2137586773 5802021241 14963107411 40614148687 284299040809