Search a number
-
+
4420928772 = 22321310193529
BaseRepresentation
bin1000001111000001…
…00000010100000100
3102102002202110011200
410013200200110010
533023224210042
62010403502500
7214361163111
oct40740402404
912362673150
104420928772
111969554247
12a34687a30
13555bb00b0
142dd205908
151ad1bec4c
hex107820504

4420928772 has 72 divisors (see below), whose sum is σ = 12154036440. Its totient is φ = 1346803200.

The previous prime is 4420928767. The next prime is 4420928783. The reversal of 4420928772 is 2778290244.

It can be written as a sum of positive squares in 4 ways, for example, as 903964356 + 3516964416 = 30066^2 + 59304^2 .

It is a super-2 number, since 2×44209287722 = 39089222414194855968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504 + ... + 94032.

Almost surely, 24420928772 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 4420928772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077018220).

4420928772 is an abundant number, since it is smaller than the sum of its proper divisors (7733107668).

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

4420928772 is a wasteful number, since it uses less digits than its factorization.

4420928772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93653 (or 93648 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4420928772 is about 66490.0652127820. The cubic root of 4420928772 is about 1641.2365218492.

The spelling of 4420928772 in words is "four billion, four hundred twenty million, nine hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1818 2626 3636 3939 5252 7878 11817 15756 23634 47268 93529 187058 280587 374116 561174 841761 1122348 1215877 1683522 2431754 3367044 3647631 4863508 7295262 9446429 10942893 14590524 18892858 21885786 28339287 37785716 43771572 56678574 85017861 113357148 122803577 170035722 245607154 340071444 368410731 491214308 736821462 1105232193 1473642924 2210464386 4420928772