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54050816 = 2143299
BaseRepresentation
bin1100111000110…
…0000000000000
310202201001210002
43032030000000
5102314111231
65210255132
71224265361
oct316140000
9122631702
1054050816
11285681a6
12161274a8
13b276141
14726db68
154b2a0cb
hex338c000

54050816 has 30 divisors (see below), whose sum is σ = 108131100. Its totient is φ = 27017216.

The previous prime is 54050813. The next prime is 54050863. The reversal of 54050816 is 61805045.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (54050813) by changing a digit.

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 as a sum of consecutive naturals, namely, 14735 + ... + 18033.

It is an arithmetic number, because the mean of its divisors is an integer number (3604370).

Almost surely, 254050816 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 54050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54065550).

54050816 is an abundant number, since it is smaller than the sum of its proper divisors (54080284).

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

54050816 is an frugal number, since it uses more digits than its factorization.

54050816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 54050816 is about 7351.9260061565. The cubic root of 54050816 is about 378.0948410343.

The spelling of 54050816 in words is "fifty-four million, fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3299 4096 6598 8192 13196 16384 26392 52784 105568 211136 422272 844544 1689088 3378176 6756352 13512704 27025408 54050816