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2811425328 = 24337578597
BaseRepresentation
bin1010011110010010…
…1111001000110000
321020221012012112000
42213210233020300
521224211102303
61142550334000
7126445502205
oct24744571060
97227165460
102811425328
111212a81508
1266565a300
1335a5ca7aa
141c9559cac
15116c44da3
hexa792f230

2811425328 has 80 divisors (see below), whose sum is σ = 8081432160. Its totient is φ = 935794944.

The previous prime is 2811425327. The next prime is 2811425339. The reversal of 2811425328 is 8235241182.

It is a happy number.

2811425328 is a `hidden beast` number, since 2 + 8 + 114 + 2 + 532 + 8 = 666.

It is a super-2 number, since 2×28114253282 = 15808224749839815168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2811425292 and 2811425301.

It is not an unprimeable number, because it can be changed into a prime (2811425327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322726 + ... + 331322.

It is an arithmetic number, because the mean of its divisors is an integer number (101017902).

Almost surely, 22811425328 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 2811425328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040716080).

2811425328 is an abundant number, since it is smaller than the sum of its proper divisors (5270006832).

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

2811425328 is a wasteful number, since it uses less digits than its factorization.

2811425328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371 (or 9359 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2811425328 is about 53022.8755161393. The cubic root of 2811425328 is about 1411.3742328492.

The spelling of 2811425328 in words is "two billion, eight hundred eleven million, four hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 757 1514 2271 3028 4542 6056 6813 8597 9084 12112 13626 17194 18168 20439 25791 27252 34388 36336 40878 51582 54504 68776 77373 81756 103164 109008 137552 154746 163512 206328 232119 309492 327024 412656 464238 618984 928476 1237968 1856952 3713904 6507929 13015858 19523787 26031716 39047574 52063432 58571361 78095148 104126864 117142722 156190296 175714083 234285444 312380592 351428166 468570888 702856332 937141776 1405712664 2811425328