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540444016 = 24714233391
BaseRepresentation
bin100000001101101…
…000010101110000
31101122221101211001
4200031220111300
52101323202031
6125343331344
716251461350
oct4015502560
91348841731
10540444016
11258080652
12130bb0b54
1387c75a78
1451ac2b60
15326a6861
hex20368570

540444016 has 40 divisors (see below), whose sum is σ = 1197891584. Its totient is φ = 231387840.

The previous prime is 540444013. The next prime is 540444017. The reversal of 540444016 is 610444045.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540444013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 157681 + ... + 161071.

Almost surely, 2540444016 is an apocalyptic number.

540444016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

540444016 is an abundant number, since it is smaller than the sum of its proper divisors (657447568).

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

540444016 is a wasteful number, since it uses less digits than its factorization.

540444016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 540444016 is about 23247.4518173498. The cubic root of 540444016 is about 814.5484173238.

The spelling of 540444016 in words is "five hundred forty million, four hundred forty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 1423 2846 3391 5692 6782 9961 11384 13564 19922 22768 23737 27128 39844 47474 54256 79688 94948 159376 189896 379792 4825393 9650786 19301572 33777751 38603144 67555502 77206288 135111004 270222008 540444016