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5334432 = 253181307
BaseRepresentation
bin10100010110010110100000
3101001000110120
4110112112200
52331200212
6310200240
763225165
oct24262640
911030416
105334432
113013924
121953080
13114a08c
149cc06c
1570588c
hex5165a0

5334432 has 48 divisors (see below), whose sum is σ = 14126112. Its totient is φ = 1762560.

The previous prime is 5334409. The next prime is 5334437. The reversal of 5334432 is 2344335.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 53 + 32 + 38 + 46 + 47 + 314 + 219 .

It is not an unprimeable number, because it can be changed into a prime (5334437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17223 + ... + 17529.

It is an arithmetic number, because the mean of its divisors is an integer number (294294).

Almost surely, 25334432 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 5334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063056).

5334432 is an abundant number, since it is smaller than the sum of its proper divisors (8791680).

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

5334432 is a wasteful number, since it uses less digits than its factorization.

5334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its digits is 4320, while the sum is 24.

The square root of 5334432 is about 2309.6389328205. The cubic root of 5334432 is about 174.7280892953.

Adding to 5334432 its reverse (2344335), we get a palindrome (7678767).

The spelling of 5334432 in words is "five million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 307 362 543 614 724 921 1086 1228 1448 1842 2172 2456 2896 3684 4344 4912 5792 7368 8688 9824 14736 17376 29472 55567 111134 166701 222268 333402 444536 666804 889072 1333608 1778144 2667216 5334432