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53278000 = 2453171567
BaseRepresentation
bin1100101100111…
…1010100110000
310201020210200021
43023033110300
5102114344000
65141533224
71214566306
oct313172460
9121223607
1053278000
112808a606
1215a14214
13b065459
14710c276
154a2611a
hex32cf530

53278000 has 80 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 20044800.

The previous prime is 53277967. The next prime is 53278007. The reversal of 53278000 is 87235.

53278000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (53278007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33217 + ... + 34783.

Almost surely, 253278000 is an apocalyptic number.

53278000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53278000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

53278000 is an abundant number, since it is smaller than the sum of its proper divisors (83213264).

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

53278000 is a wasteful number, since it uses less digits than its factorization.

53278000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 53278000 is about 7299.1780359161. The cubic root of 53278000 is about 376.2841898564.

The spelling of 53278000 in words is "fifty-three million, two hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1567 1700 2000 2125 3134 3400 4250 6268 6800 7835 8500 12536 15670 17000 25072 26639 31340 34000 39175 53278 62680 78350 106556 125360 133195 156700 195875 213112 266390 313400 391750 426224 532780 626800 665975 783500 1065560 1331950 1567000 2131120 2663900 3134000 3329875 5327800 6659750 10655600 13319500 26639000 53278000