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5648328 = 2332721601
BaseRepresentation
bin10101100010111111001000
3101121222001100
4111202333020
52421221303
6321021400
766003300
oct25427710
911558040
105648328
113208744
121a84860
131229c0a
14a70600
157688a3
hex562fc8

5648328 has 72 divisors (see below), whose sum is σ = 17806230. Its totient is φ = 1612800.

The previous prime is 5648297. The next prime is 5648329. The reversal of 5648328 is 8238465.

5648328 is a `hidden beast` number, since 5 + 648 + 3 + 2 + 8 = 666.

5648328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2965284 + 2683044 = 1722^2 + 1638^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 5648292 and 5648301.

It is not an unprimeable number, because it can be changed into a prime (5648329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2728 + ... + 4328.

Almost surely, 25648328 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 5648328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8903115).

5648328 is an abundant number, since it is smaller than the sum of its proper divisors (12157902).

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

5648328 is a wasteful number, since it uses less digits than its factorization.

5648328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1613 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5648328 is about 2376.6211309336. The cubic root of 5648328 is about 178.0901786042.

It can be divided in two parts, 56 and 48328, that added together give a palindrome (48384).

The spelling of 5648328 in words is "five million, six hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1601 1764 3202 3528 4803 6404 9606 11207 12808 14409 19212 22414 28818 33621 38424 44828 57636 67242 78449 89656 100863 115272 134484 156898 201726 235347 268968 313796 403452 470694 627592 706041 806904 941388 1412082 1882776 2824164 5648328