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2084987521 = 113197229409
BaseRepresentation
bin111110001000110…
…0110001010000001
312101022021100012001
41330101212022001
513232224100041
6542520304001
7102445046551
oct17421461201
95338240161
102084987521
1197aa14a91
124a2312001
13272c62936
1415ac9d161
15c309e131
hex7c466281

2084987521 has 16 divisors (see below), whose sum is σ = 2128539600. Its totient is φ = 2042062848.

The previous prime is 2084987507. The next prime is 2084987533. The reversal of 2084987521 is 1257894802.

It can be written as a sum of positive squares in 8 ways, for example, as 477859600 + 1607127921 = 21860^2 + 40089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2084987521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2084987561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5097565 + ... + 5097973.

It is an arithmetic number, because the mean of its divisors is an integer number (133033725).

Almost surely, 22084987521 is an apocalyptic number.

It is an amenable number.

2084987521 is a deficient number, since it is larger than the sum of its proper divisors (43552079).

2084987521 is a wasteful number, since it uses less digits than its factorization.

2084987521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948.

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 2084987521 is about 45661.6635811706. The cubic root of 2084987521 is about 1277.5203297916.

The spelling of 2084987521 in words is "two billion, eighty-four million, nine hundred eighty-seven thousand, five hundred twenty-one".

Divisors: 1 113 197 229 409 22261 25877 45113 46217 80573 93661 5097769 9104749 10583693 18451217 2084987521