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540461448 = 233247915671
BaseRepresentation
bin100000001101101…
…100100110001000
31101122222021201200
4200031230212020
52101324231243
6125343544200
716251563232
oct4015544610
91348867650
10540461448
1125809275a
12130bbb060
1387c80997
1451ac9252
15326abad3
hex2036c988

540461448 has 48 divisors (see below), whose sum is σ = 1466899200. Its totient is φ = 179766240.

The previous prime is 540461407. The next prime is 540461461. The reversal of 540461448 is 844164045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26653 + ... + 42323.

It is an arithmetic number, because the mean of its divisors is an integer number (30560400).

Almost surely, 2540461448 is an apocalyptic number.

It is an amenable number.

540461448 is an abundant number, since it is smaller than the sum of its proper divisors (926437752).

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

540461448 is a wasteful number, since it uses less digits than its factorization.

540461448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16162 (or 16155 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 540461448 is about 23247.8267371382. The cubic root of 540461448 is about 814.5571749718.

The spelling of 540461448 in words is "five hundred forty million, four hundred sixty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 479 958 1437 1916 2874 3832 4311 5748 8622 11496 15671 17244 31342 34488 47013 62684 94026 125368 141039 188052 282078 376104 564156 1128312 7506409 15012818 22519227 30025636 45038454 60051272 67557681 90076908 135115362 180153816 270230724 540461448