Search a number
-
+
2884242192 = 243135387211
BaseRepresentation
bin1010101111101010…
…0000101100010000
321110000012200110220
42223322200230100
521401331222232
61154111153040
7131321440236
oct25372405420
97400180426
102884242192
111250096937
12685b15780
1336c7144b0
141d50b2956
1511d32a42c
hexabea0b10

2884242192 has 80 divisors (see below), whose sum is σ = 8175601728. Its totient is φ = 870704640.

The previous prime is 2884242187. The next prime is 2884242209. The reversal of 2884242192 is 2912424882.

It is a super-2 number, since 2×28842421922 = 16637706044225929728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 10534 + ... + 76677.

Almost surely, 22884242192 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 2884242192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087800864).

2884242192 is an abundant number, since it is smaller than the sum of its proper divisors (5291359536).

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

2884242192 is a wasteful number, since it uses less digits than its factorization.

2884242192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87288 (or 87282 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2884242192 is about 53705.1412064059. The cubic root of 2884242192 is about 1423.4555450252.

The spelling of 2884242192 in words is "two billion, eight hundred eighty-four million, two hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 2067 2544 2756 4134 5512 8268 11024 16536 33072 87211 174422 261633 348844 523266 697688 1046532 1133743 1395376 2093064 2267486 3401229 4186128 4534972 4622183 6802458 9069944 9244366 13604916 13866549 18139888 18488732 27209832 27733098 36977464 54419664 55466196 60088379 73954928 110932392 120176758 180265137 221864784 240353516 360530274 480707032 721060548 961414064 1442121096 2884242192