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2058527641 = 5927692
BaseRepresentation
bin111101010110010…
…1010001110011001
312022110111001001111
41322230222032121
513203440341031
6540133220321
7102004124212
oct17254521631
95273431044
102058527641
11966a92315
124954916a1
1326a62a0c1
14157572409
15c0ac41b1
hex7ab2a399

2058527641 has 9 divisors (see below), whose sum is σ = 2096735871. Its totient is φ = 2021005824.

The previous prime is 2058527629. The next prime is 2058527699. The reversal of 2058527641 is 1467258502.

The square root of 2058527641 is 45371.

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., 805367641 + 1253160000 = 28379^2 + 35400^2 .

It is not a de Polignac number, because 2058527641 - 25 = 2058527609 is a prime.

It is a super-2 number, since 2×20585276412 = 8475072097522049762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2058527594 and 2058527603.

It is not an unprimeable number, because it can be changed into a prime (2058527041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2676505 + ... + 2677273.

Almost surely, 22058527641 is an apocalyptic number.

2058527641 is the 45371-st square number.

2058527641 is the 22686-th centered octagonal number.

It is an amenable number.

2058527641 is a deficient number, since it is larger than the sum of its proper divisors (38208230).

2058527641 is an frugal number, since it uses more digits than its factorization.

2058527641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The cubic root of 2058527641 is about 1272.0931117397.

The spelling of 2058527641 in words is "two billion, fifty-eight million, five hundred twenty-seven thousand, six hundred forty-one".

Divisors: 1 59 769 3481 45371 591361 2676889 34890299 2058527641