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2852170240 = 2951765537
BaseRepresentation
bin1010101000000000…
…1010101000000000
321100202212021000211
42222000022220000
521320123421430
61151003523504
7130452022063
oct25200125000
97322767024
102852170240
111233a80797
12677229594
13365b953ca
141d0b248da
1511a5e272a
hexaa00aa00

2852170240 has 80 divisors (see below), whose sum is σ = 7240900392. Its totient is φ = 1073741824.

The previous prime is 2852170201. The next prime is 2852170241. The reversal of 2852170240 is 420712582.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2837053696 + 15116544 = 53264^2 + 3888^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2852170241) by changing a digit.

In principle, a polygon with 2852170240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10752 + ... + 76288.

Almost surely, 22852170240 is an apocalyptic number.

2852170240 is a gapful number since it is divisible by the number (20) 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 2852170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620450196).

2852170240 is an abundant number, since it is smaller than the sum of its proper divisors (4388730152).

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

2852170240 is an equidigital number, since it uses as much as digits as its factorization.

2852170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65577 (or 65561 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 2852170240 is about 53405.7135520161. The cubic root of 2852170240 is about 1418.1597267891.

The spelling of 2852170240 in words is "two billion, eight hundred fifty-two million, one hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 21760 43520 65537 131074 262148 327685 524296 655370 1048592 1114129 1310740 2097184 2228258 2621480 4194368 4456516 5242960 5570645 8388736 8913032 10485920 11141290 16777472 17826064 20971840 22282580 33554944 35652128 41943680 44565160 71304256 83887360 89130320 142608512 167774720 178260640 285217024 356521280 570434048 713042560 1426085120 2852170240