Search a number
-
+
2423457981 = 33759713061
BaseRepresentation
bin1001000001110011…
…0000100010111101
320020220011102101000
42100130300202331
514430401123411
61040251040513
7114025024110
oct22034604275
96226142330
102423457981
111033a8493a
12577740139
132c8110009
1418dc08577
15e2b5b956
hex907308bd

2423457981 has 64 divisors (see below), whose sum is σ = 4232908800. Its totient is φ = 1341748800.

The previous prime is 2423457977. The next prime is 2423457983. The reversal of 2423457981 is 1897543242.

2423457981 is a `hidden beast` number, since 2 + 42 + 34 + 579 + 8 + 1 = 666.

It is not a de Polignac number, because 2423457981 - 22 = 2423457977 is a prime.

It is a super-2 number, since 2×24234579812 = 11746297171345192722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423457983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 790191 + ... + 793251.

It is an arithmetic number, because the mean of its divisors is an integer number (66139200).

Almost surely, 22423457981 is an apocalyptic number.

2423457981 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2423457981 is a deficient number, since it is larger than the sum of its proper divisors (1809450819).

2423457981 is a wasteful number, since it uses less digits than its factorization.

2423457981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3201 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2423457981 is about 49228.6296884242. The cubic root of 2423457981 is about 1343.2138608488.

It can be divided in two parts, 24234 and 57981, that added together give a triangular number (82215 = T405).

The spelling of 2423457981 in words is "two billion, four hundred twenty-three million, four hundred fifty-seven thousand, nine hundred eighty-one".

Divisors: 1 3 7 9 21 27 59 63 71 177 189 213 413 497 531 639 1239 1491 1593 1917 3061 3717 4189 4473 9183 11151 12567 13419 21427 27549 29323 37701 64281 82647 87969 113103 180599 192843 217331 263907 541797 578529 651993 791721 1264193 1521317 1625391 1955979 3792579 4563951 4876173 5867937 11377737 12822529 13691853 34133211 38467587 41075559 89757703 115402761 269273109 346208283 807819327 2423457981