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1024285401 = 32500922721
BaseRepresentation
bin111101000011010…
…101101011011001
32122101101002102100
4331003111223121
54044204113101
6245345554013
734245165546
oct7503255331
92571332370
101024285401
11486200867
12247045909
13134291049
149a06dbcd
155edcbe86
hex3d0d5ad9

1024285401 has 12 divisors (see below), whose sum is σ = 1479883860. Its totient is φ = 682690560.

The previous prime is 1024285399. The next prime is 1024285403. The reversal of 1024285401 is 1045824201.

1024285401 is a `hidden beast` number, since 10 + 242 + 8 + 5 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (1024285399) and next prime (1024285403).

It can be written as a sum of positive squares in 2 ways, for example, as 443523600 + 580761801 = 21060^2 + 24099^2 .

It is not a de Polignac number, because 1024285401 - 21 = 1024285399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1024285403) 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 11 ways as a sum of consecutive naturals, for example, 33721 + ... + 56441.

It is an arithmetic number, because the mean of its divisors is an integer number (123323655).

Almost surely, 21024285401 is an apocalyptic number.

It is an amenable number.

1024285401 is a deficient number, since it is larger than the sum of its proper divisors (455598459).

1024285401 is a wasteful number, since it uses less digits than its factorization.

1024285401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27736 (or 27733 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1024285401 is about 32004.4590799470. The cubic root of 1024285401 is about 1008.0304725529.

The spelling of 1024285401 in words is "one billion, twenty-four million, two hundred eighty-five thousand, four hundred one".

Divisors: 1 3 9 5009 15027 22721 45081 68163 204489 113809489 341428467 1024285401