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5347328 = 2117373
BaseRepresentation
bin10100011001100000000000
3101001200011012
4110121200000
52332103303
6310340052
763310610
oct24314000
911050135
105347328
113022588
12195a628
131152bcc
149d2a40
157095d8
hex519800

5347328 has 48 divisors (see below), whose sum is σ = 12252240. Its totient is φ = 2285568.

The previous prime is 5347327. The next prime is 5347361. The reversal of 5347328 is 8237435.

It is a happy number.

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

It is a d-powerful number, because it can be written as 53 + 312 + 42 + 7 + 314 + 2 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 5347294 and 5347303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14150 + ... + 14522.

It is an arithmetic number, because the mean of its divisors is an integer number (255255).

Almost surely, 25347328 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 5347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126120).

5347328 is an abundant number, since it is smaller than the sum of its proper divisors (6904912).

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

5347328 is an equidigital number, since it uses as much as digits as its factorization.

5347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

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

The square root of 5347328 is about 2312.4290259379. The cubic root of 5347328 is about 174.8687778193.

The spelling of 5347328 in words is "five million, three hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 373 448 512 746 896 1024 1492 1792 2048 2611 2984 3584 5222 5968 7168 10444 11936 14336 20888 23872 41776 47744 83552 95488 167104 190976 334208 381952 668416 763904 1336832 2673664 5347328