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2058509448 = 233253472
BaseRepresentation
bin111101010110010…
…0101110010001000
312022110110010002200
41322230211302020
513203434300243
6540133000200
7102004020162
oct17254456210
95273403080
102058509448
11966a7a686
12495483060
1326a621a38
14157569932
15c0abdad3
hex7ab25c88

2058509448 has 36 divisors (see below), whose sum is σ = 5576172615. Its totient is φ = 686041488.

The previous prime is 2058509443. The next prime is 2058509449. The reversal of 2058509448 is 8449058502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2058509448 is a `hidden beast` number, since 20 + 585 + 0 + 9 + 4 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1029254724 + 1029254724 = 32082^2 + 32082^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32082.

It is a super-2 number, since 2×20585094482 = 8474922295010529408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2058509441) 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, 382311 + ... + 387657.

Almost surely, 22058509448 is an apocalyptic number.

It is an amenable number.

2058509448 is an abundant number, since it is smaller than the sum of its proper divisors (3517663167).

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

2058509448 is an frugal number, since it uses more digits than its factorization.

2058509448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2058509448 is about 45370.7995080536. The cubic root of 2058509448 is about 1272.0893641974.

Multiplying 2058509448 by its product of nonzero digits (460800), we get a square (948561153638400 = 307987202).

The spelling of 2058509448 in words is "two billion, fifty-eight million, five hundred nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5347 10694 16041 21388 32082 42776 48123 64164 96246 128328 192492 384984 28590409 57180818 85771227 114361636 171542454 228723272 257313681 343084908 514627362 686169816 1029254724 2058509448