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2842920125 = 531922512
BaseRepresentation
bin1010100101110011…
…1000010010111101
321100010110022020222
42221130320102331
521310241421000
61150033351125
7130310264603
oct25134702275
97303408228
102842920125
111229832a71
126741084a5
13363ca6c76
141cd7d7873
151198b6a85
hexa97384bd

2842920125 has 36 divisors (see below), whose sum is σ = 3759505308. Its totient is φ = 2146050000.

The previous prime is 2842920097. The next prime is 2842920127. The reversal of 2842920125 is 5210292482.

It is a happy number.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 90973444 + 2751946681 = 9538^2 + 52459^2 .

It is not a de Polignac number, because 2842920125 - 26 = 2842920061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842920127) 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 35 ways as a sum of consecutive naturals, for example, 11326250 + ... + 11326500.

It is an arithmetic number, because the mean of its divisors is an integer number (104430703).

Almost surely, 22842920125 is an apocalyptic number.

2842920125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2842920125 is a deficient number, since it is larger than the sum of its proper divisors (916585183).

2842920125 is an frugal number, since it uses more digits than its factorization.

2842920125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2842920125 is about 53319.0409234825. The cubic root of 2842920125 is about 1416.6249484062.

The spelling of 2842920125 in words is "two billion, eight hundred forty-two million, nine hundred twenty thousand, one hundred twenty-five".

Divisors: 1 5 19 25 95 125 251 361 475 1255 1805 2375 4769 6275 9025 23845 31375 45125 63001 90611 119225 315005 453055 596125 1197019 1575025 2265275 5985095 7875125 11326375 22743361 29925475 113716805 149627375 568584025 2842920125