Search a number
-
+
1921412892 = 223726153569
BaseRepresentation
bin111001010000110…
…0110111100011100
311221220110212222110
41302201212330130
512413340203032
6514354314020
765420511600
oct16241467434
94856425873
101921412892
118a6650a43
12457588910
132480c0109
1414327d500
15b3a3c7cc
hex72866f1c

1921412892 has 72 divisors (see below), whose sum is σ = 5300858640. Its totient is φ = 539965440.

The previous prime is 1921412887. The next prime is 1921412897. The reversal of 1921412892 is 2982141291.

1921412892 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1921412887) and next prime (1921412897).

It is a self number, because there is not a number n which added to its sum of digits gives 1921412892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1921412897) 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, 9084 + ... + 62652.

Almost surely, 21921412892 is an apocalyptic number.

1921412892 is a gapful number since it is divisible by the number (12) 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 1921412892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650429320).

1921412892 is an abundant number, since it is smaller than the sum of its proper divisors (3379445748).

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

1921412892 is a wasteful number, since it uses less digits than its factorization.

1921412892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53651 (or 53642 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 1921412892 is about 43833.9239858811. The cubic root of 1921412892 is about 1243.1978015138.

It can be divided in two parts, 192141289 and 2, that added together give a palindrome (192141291).

The spelling of 1921412892 in words is "one billion, nine hundred twenty-one million, four hundred twelve thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1281 1708 2562 2989 5124 5978 8967 11956 17934 35868 53569 107138 160707 214276 321414 374983 642828 749966 1124949 1499932 2249898 2624881 3267709 4499796 5249762 6535418 7874643 9803127 10499524 13070836 15749286 19606254 22873963 31498572 39212508 45747926 68621889 91495852 137243778 160117741 274487556 320235482 480353223 640470964 960706446 1921412892