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2892424164 = 22371031811847
BaseRepresentation
bin1010110001100110…
…1110001111100100
321110120121101000220
42230121232033210
521410430033124
61155002404340
7131451125340
oct25431561744
97416541026
102892424164
1112547750a3
126888006b0
1337131a6b6
141d6202620
1511dde4879
hexac66e3e4

2892424164 has 96 divisors (see below), whose sum is σ = 7835283456. Its totient is φ = 813421440.

The previous prime is 2892424159. The next prime is 2892424231. The reversal of 2892424164 is 4614242982.

It is a super-2 number, since 2×28924241642 = 16732235088982197792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1565089 + ... + 1566935.

It is an arithmetic number, because the mean of its divisors is an integer number (81617536).

Almost surely, 22892424164 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 2892424164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917641728).

2892424164 is an abundant number, since it is smaller than the sum of its proper divisors (4942859292).

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

2892424164 is a wasteful number, since it uses less digits than its factorization.

2892424164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2143 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 2892424164 is about 53781.2622016256. The cubic root of 2892424164 is about 1424.8002862004.

The spelling of 2892424164 in words is "two billion, eight hundred ninety-two million, four hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 181 206 309 362 412 543 618 721 724 1086 1236 1267 1442 1847 2163 2172 2534 2884 3694 3801 4326 5068 5541 7388 7602 8652 11082 12929 15204 18643 22164 25858 37286 38787 51716 55929 74572 77574 111858 130501 155148 190241 223716 261002 334307 380482 391503 522004 570723 668614 760964 783006 1002921 1141446 1331687 1337228 1566012 2005842 2282892 2340149 2663374 3995061 4011684 4680298 5326748 7020447 7990122 9360596 14040894 15980244 28081788 34433621 68867242 103300863 137734484 206601726 241035347 413203452 482070694 723106041 964141388 1446212082 2892424164