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4112528641 = 13249332
BaseRepresentation
bin1111010100100000…
…0011010100000001
3101121121110002201121
43311020003110001
531410301404031
61520025432241
7203624626264
oct36510032401
911547402647
104112528641
111820462701
1296933b681
13507030a00
142b0286cdb
151910a2011
hexf5203501

4112528641 has 9 divisors (see below), whose sum is σ = 4454114409. Its totient is φ = 3795410736.

The previous prime is 4112528611. The next prime is 4112528653. The reversal of 4112528641 is 1468252114.

The square root of 4112528641 is 64129.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1248138241 + 2864390400 = 35329^2 + 53520^2 .

It is not a de Polignac number, because 4112528641 - 221 = 4110431489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4112528597 and 4112528606.

It is not an unprimeable number, because it can be changed into a prime (4112528611) 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, 831211 + ... + 836143.

It is an arithmetic number, because the mean of its divisors is an integer number (494901601).

Almost surely, 24112528641 is an apocalyptic number.

4112528641 is the 64129-th square number.

4112528641 is the 32065-th centered octagonal number.

It is an amenable number.

4112528641 is a deficient number, since it is larger than the sum of its proper divisors (341585768).

4112528641 is an frugal number, since it uses more digits than its factorization.

4112528641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 4946 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The cubic root of 4112528641 is about 1602.1492783806.

The spelling of 4112528641 in words is "four billion, one hundred twelve million, five hundred twenty-eight thousand, six hundred forty-one".

Divisors: 1 13 169 4933 64129 833677 24334489 316348357 4112528641