Search a number
-
+
4244391360 = 2633511173771
BaseRepresentation
bin1111110011111100…
…0100010111000000
3101221210120102101000
43330333010113000
532143031010420
61541100012000
7210115505556
oct37477042700
911853512330
104244391360
111888937060
129a5531000
1352844c2a1
142c39adbd6
1519c94c690
hexfcfc45c0

4244391360 has 896 divisors, whose sum is σ = 18012948480. Its totient is φ = 928972800.

The previous prime is 4244391337. The next prime is 4244391379. The reversal of 4244391360 is 631934424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59780125 + ... + 59780195.

Almost surely, 24244391360 is an apocalyptic number.

4244391360 is a gapful number since it is divisible by the number (40) 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 4244391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006474240).

4244391360 is an abundant number, since it is smaller than the sum of its proper divisors (13768557120).

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

4244391360 is a wasteful number, since it uses less digits than its factorization.

4244391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4244391360 is about 65148.9935455645. The cubic root of 4244391360 is about 1619.0930451494.

The spelling of 4244391360 in words is "four billion, two hundred forty-four million, three hundred ninety-one thousand, three hundred sixty".