Search a number
-
+
1643420532 = 22313171494159
BaseRepresentation
bin110000111110100…
…1001101101110100
311020112101102011010
41201331021231310
511331203424112
6431024112220
755503562335
oct14175115564
94215342133
101643420532
11773739196
1239a465670
132026294b0
1411839828c
159942963c
hex61f49b74

1643420532 has 96 divisors (see below), whose sum is σ = 4402944000. Its totient is φ = 472614912.

The previous prime is 1643420503. The next prime is 1643420533. The reversal of 1643420532 is 2350243461.

It is a self number, because there is not a number n which added to its sum of digits gives 1643420532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643420533) by changing a digit.

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, 393069 + ... + 397227.

It is an arithmetic number, because the mean of its divisors is an integer number (45864000).

Almost surely, 21643420532 is an apocalyptic number.

1643420532 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 1643420532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472000).

1643420532 is an abundant number, since it is smaller than the sum of its proper divisors (2759523468).

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

1643420532 is a wasteful number, since it uses less digits than its factorization.

1643420532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1643420532 is about 40539.1234735040. The cubic root of 1643420532 is about 1180.0930052136.

Adding to 1643420532 its reverse (2350243461), we get a palindrome (3993663993).

The spelling of 1643420532 in words is "one billion, six hundred forty-three million, four hundred twenty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 149 156 204 221 298 442 447 596 663 884 894 1326 1788 1937 2533 2652 3874 4159 5066 5811 7599 7748 8318 10132 11622 12477 15198 16636 23244 24954 30396 32929 49908 54067 65858 70703 98787 108134 131716 141406 162201 197574 212109 216268 282812 324402 395148 424218 619691 648804 848436 919139 1239382 1838278 1859073 2478764 2757417 3676556 3718146 5514834 7436292 8055983 10534747 11029668 16111966 21069494 24167949 31604241 32223932 42138988 48335898 63208482 96671796 126416964 136951711 273903422 410855133 547806844 821710266 1643420532