Search a number
-
+
2809074672 = 243231718863
BaseRepresentation
bin1010011101101111…
…0001001111110000
321020202202210000200
42213123301033300
521223110342142
61142424115200
7126416512035
oct24733611760
97222683020
102809074672
111211716418
12664905b00
13359c86881
141c910738c
1511692d64c
hexa76f13f0

2809074672 has 120 divisors (see below), whose sum is σ = 8230330368. Its totient is φ = 893289600.

The previous prime is 2809074661. The next prime is 2809074689. The reversal of 2809074672 is 2764709082.

It is a congruent number.

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, 312513 + ... + 321375.

Almost surely, 22809074672 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 2809074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115165184).

2809074672 is an abundant number, since it is smaller than the sum of its proper divisors (5421255696).

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

2809074672 is a wasteful number, since it uses less digits than its factorization.

2809074672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2809074672 is about 53000.7044481486. The cubic root of 2809074672 is about 1410.9807692745.

The spelling of 2809074672 in words is "two billion, eight hundred nine million, seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 71 72 93 124 142 144 186 213 248 279 284 372 426 496 558 568 639 744 852 1116 1136 1278 1488 1704 2201 2232 2556 3408 4402 4464 5112 6603 8804 8863 10224 13206 17608 17726 19809 26412 26589 35216 35452 39618 52824 53178 70904 79236 79767 105648 106356 141808 158472 159534 212712 274753 316944 319068 425424 549506 629273 638136 824259 1099012 1258546 1276272 1648518 1887819 2198024 2472777 2517092 3297036 3775638 4396048 4945554 5034184 5663457 6594072 7551276 9891108 10068368 11326914 13188144 15102552 19507463 19782216 22653828 30205104 39014926 39564432 45307656 58522389 78029852 90615312 117044778 156059704 175567167 234089556 312119408 351134334 468179112 702268668 936358224 1404537336 2809074672