Search a number
-
+
4055020672 = 27534631291
BaseRepresentation
bin1111000110110010…
…1011010010000000
3101110121020101121211
43301230223102000
531301041130142
61510213055504
7202326051463
oct36154532200
911417211554
104055020672
1117a0a5405a
12952027594
134c8147121
142a67972da
1518aee2917
hexf1b2b480

4055020672 has 64 divisors (see below), whose sum is σ = 8254949760. Its totient is φ = 1983421440.

The previous prime is 4055020639. The next prime is 4055020691. The reversal of 4055020672 is 2760205504.

It is a tau number, because it is divible by the number of its divisors (64).

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, 3140347 + ... + 3141637.

It is an arithmetic number, because the mean of its divisors is an integer number (128983590).

Almost surely, 24055020672 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 4055020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127474880).

4055020672 is an abundant number, since it is smaller than the sum of its proper divisors (4199929088).

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

4055020672 is a wasteful number, since it uses less digits than its factorization.

4055020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 4055020672 is about 63679.0442139327. The cubic root of 4055020672 is about 1594.6462558706.

The spelling of 4055020672 in words is "four billion, fifty-five million, twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 463 848 926 1291 1696 1852 2582 3392 3704 5164 6784 7408 10328 14816 20656 24539 29632 41312 49078 59264 68423 82624 98156 136846 165248 196312 273692 392624 547384 597733 785248 1094768 1195466 1570496 2189536 2390932 3140992 4379072 4781864 8758144 9563728 19127456 31679849 38254912 63359698 76509824 126719396 253438792 506877584 1013755168 2027510336 4055020672