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775683072 = 21032174951
BaseRepresentation
bin101110001110111…
…111110000000000
32000001120210010200
4232032333300000
53042033324242
6204545325200
725136124453
oct5616776000
92001523120
10775683072
1136894219a
12197936800
13c491a888
147503949a
154817204c
hex2e3bfc00

775683072 has 132 divisors (see below), whose sum is σ = 2371998096. Its totient is φ = 243302400.

The previous prime is 775683049. The next prime is 775683091. The reversal of 775683072 is 270386577.

Added to its reverse (270386577) it gives a square (1046069649 = 323432).

775683072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154197 + ... + 159147.

Almost surely, 2775683072 is an apocalyptic number.

775683072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 775683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185999048).

775683072 is an abundant number, since it is smaller than the sum of its proper divisors (1596315024).

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

775683072 is a wasteful number, since it uses less digits than its factorization.

775683072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 775683072 is about 27851.0874473511. The cubic root of 775683072 is about 918.8150592274.

Adding to 775683072 its reverse (270386577), we get a square (1046069649 = 323432).

The spelling of 775683072 in words is "seven hundred seventy-five million, six hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 4951 6528 8704 9216 9792 9902 13056 14853 17408 19584 19804 26112 29706 39168 39608 44559 52224 59412 78336 79216 84167 89118 118824 156672 158432 168334 178236 237648 252501 316864 336668 356472 475296 505002 633728 673336 712944 757503 950592 1010004 1267456 1346672 1425888 1515006 1901184 2020008 2534912 2693344 2851776 3030012 3802368 4040016 5069824 5386688 5703552 6060024 7604736 8080032 10773376 11407104 12120048 15209472 16160064 21546752 22814208 24240096 32320128 43093504 45628416 48480192 64640256 86187008 96960384 129280512 193920768 258561024 387841536 775683072