Search a number
-
+
1801238481 = 3272432472
BaseRepresentation
bin110101101011100…
…1011011111010001
311122112100101200100
41223113023133101
512142104112411
6454422443013
762431163100
oct15327133721
94575311610
101801238481
11844830149
12423293469
132292349b3
1413131a037
15a8200456
hex6b5cb7d1

1801238481 has 81 divisors (see below), whose sum is σ = 3165923241. Its totient is φ = 983952144.

The previous prime is 1801238479. The next prime is 1801238489. The reversal of 1801238481 is 1848321081.

The square root of 1801238481 is 42441.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1801238481 - 21 = 1801238479 is a prime.

It is a super-2 number, since 2×18012384812 = 6488920130870374722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1801238489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38324200 + ... + 38324246.

Almost surely, 21801238481 is an apocalyptic number.

1801238481 is the 42441-st square number.

1801238481 is the 21221-st centered octagonal number.

It is an amenable number.

1801238481 is a deficient number, since it is larger than the sum of its proper divisors (1364684760).

1801238481 is an equidigital number, since it uses as much as digits as its factorization.

1801238481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The cubic root of 1801238481 is about 1216.7193237317.

Multiplying 1801238481 by its sum of digits (36), we get a square (64844585316 = 2546462).

The spelling of 1801238481 in words is "one billion, eight hundred one million, two hundred thirty-eight thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 43 47 49 63 129 141 147 301 329 387 423 441 903 987 1849 2021 2107 2209 2303 2709 2961 5547 6063 6321 6627 6909 12943 14147 15463 16641 18189 18963 19881 20727 38829 42441 46389 86903 90601 94987 99029 108241 116487 127323 139167 260709 271803 284961 297087 324723 608321 664909 782127 815409 854883 891261 974169 1824963 1994727 4084441 4258247 4654363 5474889 5984181 12253323 12774741 13963089 28591087 36759969 38324223 41889267 85773261 200137609 257319783 600412827 1801238481