Search a number
-
+
1992053644 = 2272231632711
BaseRepresentation
bin111011010111100…
…0101001110001100
312010211101210212121
41312233011032030
513034431204034
6525400342324
7100236114400
oct16657051614
95124353777
101992053644
1193250a429
124771749a4
13259924489
1414c7cb100
15b9d431b4
hex76bc538c

1992053644 has 72 divisors (see below), whose sum is σ = 4259098368. Its totient is φ = 811308960.

The previous prime is 1992053611. The next prime is 1992053663. The reversal of 1992053644 is 4463502991.

It is a self number, because there is not a number n which added to its sum of digits gives 1992053644.

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 23 ways as a sum of consecutive naturals, for example, 733449 + ... + 736159.

It is an arithmetic number, because the mean of its divisors is an integer number (59154144).

Almost surely, 21992053644 is an apocalyptic number.

1992053644 is a gapful number since it is divisible by the number (14) 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 1992053644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129549184).

1992053644 is an abundant number, since it is smaller than the sum of its proper divisors (2267044724).

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

1992053644 is a wasteful number, since it uses less digits than its factorization.

1992053644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 1992053644 is about 44632.4281660767. The cubic root of 1992053644 is about 1258.2502048832.

The spelling of 1992053644 in words is "one billion, nine hundred ninety-two million, fifty-three thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 163 196 322 326 644 652 1127 1141 2254 2282 2711 3749 4508 4564 5422 7498 7987 10844 14996 15974 18977 26243 31948 37954 52486 62353 75908 104972 124706 132839 183701 249412 265678 367402 436471 441893 531356 734804 872942 883786 1745884 1767572 3055297 3093251 6110594 6186502 10163539 12221188 12373004 20327078 21652757 40654156 43305514 71144773 86611028 142289546 284579092 498013411 996026822 1992053644