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2350089 = 3272732
BaseRepresentation
bin1000111101110000001001
311102101201100
420331300021
51100200324
6122212013
725655400
oct10756011
94371640
102350089
111365725
12954009
136438b1
14452637
153164c9
hex23dc09

2350089 has 27 divisors (see below), whose sum is σ = 4003623. Its totient is φ = 1324512.

The previous prime is 2350081. The next prime is 2350093. The reversal of 2350089 is 9800532.

The square root of 2350089 is 1533.

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., 1334025 + 1016064 = 1155^2 + 1008^2 .

It is not a de Polignac number, because 2350089 - 23 = 2350081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2350081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32157 + ... + 32229.

22350089 is an apocalyptic number.

2350089 is the 1533-rd square number.

2350089 is the 767-th centered octagonal number.

It is an amenable number.

2350089 is a deficient number, since it is larger than the sum of its proper divisors (1653534).

2350089 is an equidigital number, since it uses as much as digits as its factorization.

2350089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 2350089 is about 132.9519678818.

The spelling of 2350089 in words is "two million, three hundred fifty thousand, eighty-nine".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3577 4599 5329 10731 15987 32193 37303 47961 111909 261121 335727 783363 2350089