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54066272 = 2513129967
BaseRepresentation
bin1100111000111…
…1110001100000
310202201211222112
43032033301200
5102320110042
65210454452
71224361421
oct316176140
9122654875
1054066272
1128578877
1216134428
13b2801a0
147275648
154b2e982
hex338fc60

54066272 has 24 divisors (see below), whose sum is σ = 114631776. Its totient is φ = 24953472.

The previous prime is 54066223. The next prime is 54066281. The reversal of 54066272 is 27266045.

54066272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×540662723 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64568 + ... + 65399.

It is an arithmetic number, because the mean of its divisors is an integer number (4776324).

Almost surely, 254066272 is an apocalyptic number.

54066272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54066272 is an abundant number, since it is smaller than the sum of its proper divisors (60565504).

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

54066272 is a wasteful number, since it uses less digits than its factorization.

54066272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129990 (or 129982 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 54066272 is about 7352.9770841476. The cubic root of 54066272 is about 378.1308767340.

The spelling of 54066272 in words is "fifty-four million, sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 129967 259934 519868 1039736 1689571 2079472 3379142 4158944 6758284 13516568 27033136 54066272