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540450816 = 213321991
BaseRepresentation
bin100000001101101…
…010000000000000
31101122221202010220
4200031222000000
52101323411231
6125343423040
716251520233
oct4015520000
91348852126
10540450816
11258085774
12130bb4a80
1387c78ba9
1451ac541a
15326a8896
hex2036a000

540450816 has 56 divisors (see below), whose sum is σ = 1441179744. Its totient is φ = 180142080.

The previous prime is 540450761. The next prime is 540450829. The reversal of 540450816 is 618054045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13581 + ... + 35571.

Almost surely, 2540450816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720589872).

540450816 is an abundant number, since it is smaller than the sum of its proper divisors (900728928).

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

540450816 is an equidigital number, since it uses as much as digits as its factorization.

540450816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22020 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 540450816 is about 23247.5980694781. The cubic root of 540450816 is about 814.5518335926.

The spelling of 540450816 in words is "five hundred forty million, four hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 21991 24576 43982 65973 87964 131946 175928 263892 351856 527784 703712 1055568 1407424 2111136 2814848 4222272 5629696 8444544 11259392 16889088 22518784 33778176 45037568 67556352 90075136 135112704 180150272 270225408 540450816