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540073824 = 2535625769
BaseRepresentation
bin100000001100001…
…101111101100000
31101122020121000020
4200030031331200
52101224330244
6125331353440
716245360153
oct4014157540
91348217006
10540073824
11257948504
12130a52880
1387b76414
1451a27c9a
1532631d19
hex2030df60

540073824 has 24 divisors (see below), whose sum is σ = 1417694040. Its totient is φ = 180024576.

The previous prime is 540073819. The next prime is 540073843. The reversal of 540073824 is 428370045.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2812789 + ... + 2812980.

It is an arithmetic number, because the mean of its divisors is an integer number (59070585).

Almost surely, 2540073824 is an apocalyptic number.

It is an amenable number.

540073824 is an abundant number, since it is smaller than the sum of its proper divisors (877620216).

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

540073824 is a wasteful number, since it uses less digits than its factorization.

540073824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625782 (or 5625774 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 540073824 is about 23239.4884625286. The cubic root of 540073824 is about 814.3623923924.

The spelling of 540073824 in words is "five hundred forty million, seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5625769 11251538 16877307 22503076 33754614 45006152 67509228 90012304 135018456 180024608 270036912 540073824