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5376 = 2837
BaseRepresentation
bin1010100000000
321101010
41110000
5133001
640520
721450
oct12400
97333
105376
114048
123140
1325a7
141d60
1518d6
hex1500

5376 has 36 divisors (see below), whose sum is σ = 16352. Its totient is φ = 1536.

The previous prime is 5351. The next prime is 5381. The reversal of 5376 is 6735.

Multipling 5376 by its sum of digits (21), we get a square (112896 = 3362).

5376 divided by its sum of digits (21) gives a 8-th power (256 = 28).

Adding to 5376 its product of digits (630), we get a palindrome (6006).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 4 and base 9.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5376.

It is an unprimeable number.

5376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 765 + ... + 771.

25376 is an apocalyptic number.

5376 is a gapful number since it is divisible by the number (56) 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 5376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176).

5376 is an abundant number, since it is smaller than the sum of its proper divisors (10976).

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

5376 is an equidigital number, since it uses as much as digits as its factorization.

5376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 12 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 5376 is about 73.3212111193. The cubic root of 5376 is about 17.5180765596.

The spelling of 5376 in words is "five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376