Search a number
-
+
8842042944 = 26357241283
BaseRepresentation
bin10000011110000011…
…01101111001000000
3211211012212022200000
420033001231321000
5121102030333234
64021215400000
7432054060600
oct101701557100
924735768600
108842042944
113828114809
121869223000
13aabb26697
145dc458c00
1536b3c9899
hex20f06de40

8842042944 has 504 divisors, whose sum is σ = 31430232288. Its totient is φ = 2455971840.

The previous prime is 8842042943. The next prime is 8842042961. The reversal of 8842042944 is 4492402488.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 8842042944.

It is not an unprimeable number, because it can be changed into a prime (8842042943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31243827 + ... + 31244109.

It is an arithmetic number, because the mean of its divisors is an integer number (62361572).

Almost surely, 28842042944 is an apocalyptic number.

8842042944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8842042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15715116144).

8842042944 is an abundant number, since it is smaller than the sum of its proper divisors (22588189344).

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

8842042944 is a wasteful number, since it uses less digits than its factorization.

8842042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 8842042944 is about 94032.1378253201. The cubic root of 8842042944 is about 2067.8428946817.

The spelling of 8842042944 in words is "eight billion, eight hundred forty-two million, forty-two thousand, nine hundred forty-four".