Search a number
-
+
39322493401 = 59233612
BaseRepresentation
bin100100100111110011…
…011010000111011001
310202111110012122011111
4210213303122013121
51121013024242101
630021533300321
72561306451622
oct444763320731
9122443178144
1039322493401
1115749582334
1277550346a1
1339288ba499
141c9060aa49
1510522a9251
hex927cda1d9

39322493401 has 9 divisors (see below), whose sum is σ = 40012177503. Its totient is φ = 38644509120.

The previous prime is 39322493387. The next prime is 39322493407. The reversal of 39322493401 is 10439422393.

It is a happy number.

The square root of 39322493401 is 198299.

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

It can be written as a sum of positive squares in only one way, i.e., 29497719001 + 9824774400 = 171749^2 + 99120^2 .

It is not a de Polignac number, because 39322493401 - 229 = 38785622489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39322493407) 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 8 ways as a sum of consecutive naturals, for example, 11697961 + ... + 11701321.

Almost surely, 239322493401 is an apocalyptic number.

39322493401 is the 198299-th square number.

39322493401 is the 99150-th centered octagonal number.

It is an amenable number.

39322493401 is a deficient number, since it is larger than the sum of its proper divisors (689684102).

39322493401 is an frugal number, since it uses more digits than its factorization.

39322493401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 39322493401 in words is "thirty-nine billion, three hundred twenty-two million, four hundred ninety-three thousand, four hundred one".

Divisors: 1 59 3361 3481 198299 11296321 11699641 666482939 39322493401