Search a number
-
+
4444421056 = 26372397853
BaseRepresentation
bin1000010001110100…
…00111101111000000
3102110201221222112021
410020322013233000
533100232433211
62013003211224
7215064645535
oct41072075700
912421858467
104444421056
11198083a359
12a40516b14
1355aa16c5a
1430239cd8c
151b02b0771
hex108e87bc0

4444421056 has 56 divisors (see below), whose sum is σ = 9096816960. Its totient is φ = 2152829952.

The previous prime is 4444421039. The next prime is 4444421101. The reversal of 4444421056 is 6501244444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562026 + ... + 569878.

It is an arithmetic number, because the mean of its divisors is an integer number (162443160).

Almost surely, 24444421056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444421056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548408480).

4444421056 is an abundant number, since it is smaller than the sum of its proper divisors (4652395904).

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

4444421056 is a wasteful number, since it uses less digits than its factorization.

4444421056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8141 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 4444421056 is about 66666.4912531026. The cubic root of 4444421056 is about 1644.1384988387.

The spelling of 4444421056 in words is "four billion, four hundred forty-four million, four hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 239 296 478 592 956 1184 1912 2368 3824 7648 7853 8843 15296 15706 17686 31412 35372 62824 70744 125648 141488 251296 282976 290561 502592 565952 581122 1162244 1876867 2324488 3753734 4648976 7507468 9297952 15014936 18595904 30029872 60059744 69444079 120119488 138888158 277776316 555552632 1111105264 2222210528 4444421056