Search a number
-
+
3107226528 = 25337513761
BaseRepresentation
bin1011100100110100…
…1000001110100000
322000112210110111000
42321031020032200
522330422222103
61232154352000
7136666663320
oct27115101640
98015713430
103107226528
111354a4830a
1272872b600
133a69883a3
14216959280
15132bc4aa3
hexb93483a0

3107226528 has 96 divisors (see below), whose sum is σ = 10357441920. Its totient is φ = 887777280.

The previous prime is 3107226497. The next prime is 3107226553. The reversal of 3107226528 is 8256227013.

3107226528 is a `hidden beast` number, since 3 + 107 + 2 + 26 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 3107226492 and 3107226501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250833 + ... + 262928.

It is an arithmetic number, because the mean of its divisors is an integer number (107890020).

Almost surely, 23107226528 is an apocalyptic number.

It is an amenable number.

3107226528 is an abundant number, since it is smaller than the sum of its proper divisors (7250215392).

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

3107226528 is a wasteful number, since it uses less digits than its factorization.

3107226528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513787 (or 513773 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3107226528 is about 55742.5019890568. The cubic root of 3107226528 is about 1459.2318671624.

It can be divided in two parts, 31072 and 26528, that added together give a square (57600 = 2402).

The spelling of 3107226528 in words is "three billion, one hundred seven million, two hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 513761 1027522 1541283 2055044 3082566 3596327 4110088 4623849 6165132 7192654 8220176 9247698 10788981 12330264 13871547 14385308 16440352 18495396 21577962 24660528 27743094 28770616 32366943 36990792 43155924 49321056 55486188 57541232 64733886 73981584 86311848 97100829 110972376 115082464 129467772 147963168 172623696 194201658 221944752 258935544 345247392 388403316 443889504 517871088 776806632 1035742176 1553613264 3107226528