Search a number
-
+
39419322849 = 321742292
BaseRepresentation
bin100100101101100100…
…110010000111100001
310202202012102002012100
4210231210302013201
51121212321312344
630035312521013
72563563500334
oct445544620741
9122665362170
1039419322849
11157991a8775
127781550169
133942990b0a
141c9d41461b
15105aa34569
hex92d9321e1

39419322849 has 45 divisors (see below), whose sum is σ = 60763003743. Its totient is φ = 24625685376.

The previous prime is 39419322763. The next prime is 39419322911. The reversal of 39419322849 is 94822391493.

The square root of 39419322849 is 198543.

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

39419322849 is a `hidden beast` number, since 394 + 193 + 2 + 28 + 49 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4037712849 + 35381610000 = 63543^2 + 188100^2 .

It is not a de Polignac number, because 39419322849 - 29 = 39419322337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 39419322795 and 39419322804.

It is not an unprimeable number, because it can be changed into a prime (39419362849) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 172136667 + ... + 172136895.

Almost surely, 239419322849 is an apocalyptic number.

39419322849 is the 198543-rd square number.

39419322849 is the 99272-nd centered octagonal number.

It is an amenable number.

39419322849 is a deficient number, since it is larger than the sum of its proper divisors (21343680894).

39419322849 is an frugal number, since it uses more digits than its factorization.

39419322849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 249 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 39419322849 in words is "thirty-nine billion, four hundred nineteen million, three hundred twenty-two thousand, eight hundred forty-nine".

Divisors: 1 3 9 17 51 153 229 289 687 867 2061 2601 3893 4913 11679 14739 35037 44217 52441 66181 83521 157323 198543 250563 471969 595629 751689 891497 1125077 2674491 3375231 8023473 10125693 15155449 19126309 45466347 57378927 136399041 172136781 257642633 772927899 2318783697 4379924761 13139774283 39419322849