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2427159249 = 34235572339
BaseRepresentation
bin1001000010101011…
…1000001011010001
320021011010110120000
42100222320023101
514432323043444
61040502240213
7114101341014
oct22052701321
96234113500
102427159249
111036082739
12578a26069
132c8b07908
141904cd37b
15e313d469
hex90ab82d1

2427159249 has 40 divisors (see below), whose sum is σ = 3791810880. Its totient is φ = 1544314464.

The previous prime is 2427159247. The next prime is 2427159253. The reversal of 2427159249 is 9429517242.

It is not a de Polignac number, because 2427159249 - 21 = 2427159247 is a prime.

It is a super-3 number, since 3×24271592493 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2427159247) 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 39 ways as a sum of consecutive naturals, for example, 1036522 + ... + 1038860.

It is an arithmetic number, because the mean of its divisors is an integer number (94795272).

Almost surely, 22427159249 is an apocalyptic number.

It is an amenable number.

2427159249 is a deficient number, since it is larger than the sum of its proper divisors (1364651631).

2427159249 is a wasteful number, since it uses less digits than its factorization.

2427159249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2922 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2427159249 is about 49266.2079827543. The cubic root of 2427159249 is about 1343.8973285328.

The spelling of 2427159249 in words is "two billion, four hundred twenty-seven million, one hundred fifty-nine thousand, two hundred forty-nine".

Divisors: 1 3 9 23 27 69 81 207 557 621 1671 1863 2339 5013 7017 12811 15039 21051 38433 45117 53797 63153 115299 161391 189459 345897 484173 1037691 1302823 1452519 3908469 4357557 11725407 29964929 35176221 89894787 105528663 269684361 809053083 2427159249