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540813882 = 237218110163
BaseRepresentation
bin100000001111000…
…010101000111010
31101200122012011210
4200033002220322
52101422021012
6125355303550
716254561600
oct4017025072
91350565153
10540813882
11258303524
1213114abb6
138807521b
1451b7b870
153272b23c
hex203c2a3a

540813882 has 48 divisors (see below), whose sum is σ = 1265296032. Its totient is φ = 153649440.

The previous prime is 540813851. The next prime is 540813919. The reversal of 540813882 is 288318045.

It is a self number, because there is not a number n which added to its sum of digits gives 540813882.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48133 + ... + 58295.

It is an arithmetic number, because the mean of its divisors is an integer number (26360334).

Almost surely, 2540813882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540813882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632648016).

540813882 is an abundant number, since it is smaller than the sum of its proper divisors (724482150).

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

540813882 is a wasteful number, since it uses less digits than its factorization.

540813882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10363 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 540813882 is about 23255.4054361561. The cubic root of 540813882 is about 814.7341936202.

The spelling of 540813882 in words is "five hundred forty million, eight hundred thirteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 181 294 362 543 1086 1267 2534 3801 7602 8869 10163 17738 20326 26607 30489 53214 60978 71141 142282 213423 426846 497987 995974 1493961 1839503 2987922 3679006 5518509 11037018 12876521 25753042 38629563 77259126 90135647 180271294 270406941 540813882