Search a number
-
+
39242270756 = 22131722611277
BaseRepresentation
bin100100100011000001…
…011000100000100100
310202021212020220101102
4210203001120200210
51120332010131011
630005550015232
72556313540433
oct444301304044
9122255226342
1039242270756
1115708269927
1277321a7518
1339150ac970
141c83ac711a
15104a20e73b
hex923058824

39242270756 has 36 divisors (see below), whose sum is σ = 78562909908. Its totient is φ = 17046409728.

The previous prime is 39242270699. The next prime is 39242270761. The reversal of 39242270756 is 65707224293.

It can be written as a sum of positive squares in 6 ways, for example, as 5448801856 + 33793468900 = 73816^2 + 183830^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39242270756.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1290611 + ... + 1320666.

It is an arithmetic number, because the mean of its divisors is an integer number (2182303053).

Almost surely, 239242270756 is an apocalyptic number.

It is an amenable number.

39242270756 is an abundant number, since it is smaller than the sum of its proper divisors (39320639152).

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

39242270756 is a wasteful number, since it uses less digits than its factorization.

39242270756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611328 (or 2611309 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 39242270756 in words is "thirty-nine billion, two hundred forty-two million, two hundred seventy thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 17 26 34 52 68 221 289 442 578 884 1156 3757 7514 15028 2611277 5222554 10445108 33946601 44391709 67893202 88783418 135786404 177566836 577092217 754659053 1154184434 1509318106 2308368868 3018636212 9810567689 19621135378 39242270756