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4193728081 = 31220892
BaseRepresentation
bin1111100111110111…
…0011011001010001
3101211021020110102021
43321331303121101
532042043244311
61532050051441
7205632046324
oct37175633121
911737213367
104193728081
111862282a84
12990579b81
1351aac100a
142bad827bb
15198291171
hexf9f73651

4193728081 has 9 divisors (see below), whose sum is σ = 4335448923. Its totient is φ = 4056503760.

The previous prime is 4193728043. The next prime is 4193728109. The reversal of 4193728081 is 1808273914.

The square root of 4193728081 is 64759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3695545681 + 498182400 = 60791^2 + 22320^2 .

It is not a de Polignac number, because 4193728081 - 27 = 4193727953 is a prime.

It is a super-2 number, since 2×41937280812 = 35174710434735885122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4193768081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2006485 + ... + 2008573.

It is an arithmetic number, because the mean of its divisors is an integer number (481716547).

Almost surely, 24193728081 is an apocalyptic number.

4193728081 is the 64759-th square number.

4193728081 is the 32380-th centered octagonal number.

It is an amenable number.

4193728081 is a deficient number, since it is larger than the sum of its proper divisors (141720842).

4193728081 is an frugal number, since it uses more digits than its factorization.

4193728081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The cubic root of 4193728081 is about 1612.6251273692.

The spelling of 4193728081 in words is "four billion, one hundred ninety-three million, seven hundred twenty-eight thousand, eighty-one".

Divisors: 1 31 961 2089 64759 2007529 4363921 135281551 4193728081