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540983466 = 232191798837
BaseRepresentation
bin100000001111101…
…100000010101010
31101200221210210200
4200033230002222
52101442432331
6125403053030
716256166162
oct4017540252
91350853720
10540983466
11258409981
12131211176
138810447a
1451bc35a2
15327615e6
hex203ec0aa

540983466 has 48 divisors (see below), whose sum is σ = 1240855200. Its totient is φ = 169863264.

The previous prime is 540983461. The next prime is 540983477. The reversal of 540983466 is 664389045.

It is a super-2 number, since 2×5409834662 = 585326220970746312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540983461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56800 + ... + 65636.

It is an arithmetic number, because the mean of its divisors is an integer number (25851150).

Almost surely, 2540983466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540983466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620427600).

540983466 is an abundant number, since it is smaller than the sum of its proper divisors (699871734).

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

540983466 is a wasteful number, since it uses less digits than its factorization.

540983466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9043 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 540983466 is about 23259.0512704194. The cubic root of 540983466 is about 814.8193439519.

The spelling of 540983466 in words is "five hundred forty million, nine hundred eighty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 179 342 358 537 1074 1611 3222 3401 6802 8837 10203 17674 20406 26511 30609 53022 61218 79533 159066 167903 335806 503709 1007418 1511127 1581823 3022254 3163646 4745469 9490938 14236407 28472814 30054637 60109274 90163911 180327822 270491733 540983466