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540458984 = 23136777563
BaseRepresentation
bin100000001101101…
…011111111101000
31101122222011100102
4200031223333220
52101324141414
6125343524532
716251553112
oct4015537750
91348864312
10540458984
1125809091a
12130bb9748
1387c7c820
1451ac83b2
15326aaede
hex2036bfe8

540458984 has 32 divisors (see below), whose sum is σ = 1107613920. Its totient is φ = 245716416.

The previous prime is 540458981. The next prime is 540459011. The reversal of 540458984 is 489854045.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (540458981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31814 + ... + 45749.

It is an arithmetic number, because the mean of its divisors is an integer number (34612935).

Almost surely, 2540458984 is an apocalyptic number.

It is an amenable number.

540458984 is an abundant number, since it is smaller than the sum of its proper divisors (567154936).

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

540458984 is a wasteful number, since it uses less digits than its factorization.

540458984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77649 (or 77645 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The square root of 540458984 is about 23247.7737428770. The cubic root of 540458984 is about 814.5559370963. Note that the first 3 decimals are identical.

The spelling of 540458984 in words is "five hundred forty million, four hundred fifty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 67 104 134 268 536 871 1742 3484 6968 77563 155126 310252 620504 1008319 2016638 4033276 5196721 8066552 10393442 20786884 41573768 67557373 135114746 270229492 540458984