Search a number
-
+
2892008812 = 2272115325309
BaseRepresentation
bin1010110001100000…
…1000110101101100
321110112211021021111
42230120020311230
521410323240222
61154545441404
7131444445400
oct25430106554
97415737244
102892008812
111254511030
12688640264
13371203624
141d6135100
1511dd61777
hexac608d6c

2892008812 has 72 divisors (see below), whose sum is σ = 6543951120. Its totient is φ = 1105453440.

The previous prime is 2892008803. The next prime is 2892008813. The reversal of 2892008812 is 2188002982.

It is not an unprimeable number, because it can be changed into a prime (2892008813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101614 + ... + 126922.

It is an arithmetic number, because the mean of its divisors is an integer number (90888210).

Almost surely, 22892008812 is an apocalyptic number.

2892008812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2892008812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271975560).

2892008812 is an abundant number, since it is smaller than the sum of its proper divisors (3651942308).

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

2892008812 is a wasteful number, since it uses less digits than its factorization.

2892008812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25391 (or 25382 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 2892008812 is about 53777.4005693842. The cubic root of 2892008812 is about 1424.7320825133.

The spelling of 2892008812 in words is "two billion, eight hundred ninety-two million, eight thousand, eight hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 53 77 98 106 154 196 212 308 371 539 583 742 1078 1166 1484 2156 2332 2597 4081 5194 8162 10388 16324 25309 28567 50618 57134 101236 114268 177163 278399 354326 556798 708652 1113596 1240141 1341377 1948793 2480282 2682754 3897586 4960564 5365508 7795172 9389639 13641551 14755147 18779278 27283102 29510294 37558556 54566204 59020588 65727473 103286029 131454946 206572058 262909892 413144116 723002203 1446004406 2892008812