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540983884 = 227191138999
BaseRepresentation
bin100000001111101…
…100001001001100
31101200221211101011
4200033230021030
52101442441014
6125403055004
716256200330
oct4017541114
91350854334
10540983884
1125840a221
12131211464
138810470c
1451bc37c0
15327617c4
hex203ec24c

540983884 has 48 divisors (see below), whose sum is σ = 1149120000. Its totient is φ = 217679616.

The previous prime is 540983881. The next prime is 540983939. The reversal of 540983884 is 488389045.

It is not an unprimeable number, because it can be changed into a prime (540983881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55617 + ... + 64615.

It is an arithmetic number, because the mean of its divisors is an integer number (23940000).

Almost surely, 2540983884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540983884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560000).

540983884 is an abundant number, since it is smaller than the sum of its proper divisors (608136116).

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

540983884 is a wasteful number, since it uses less digits than its factorization.

540983884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 540983884 is about 23259.0602561668. The cubic root of 540983884 is about 814.8195538132.

The spelling of 540983884 in words is "five hundred forty million, nine hundred eighty-three thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 38 76 113 133 226 266 452 532 791 1582 2147 3164 4294 8588 8999 15029 17998 30058 35996 60116 62993 125986 170981 251972 341962 683924 1016887 1196867 2033774 2393734 4067548 4787468 7118209 14236418 19320853 28472836 38641706 77283412 135245971 270491942 540983884