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5891328 = 28322557
BaseRepresentation
bin10110011110010100000000
3102002022101100
4112132110000
53002010303
6330134400
7101034612
oct26362400
912068340
105891328
113364273
121b81400
1312b36c1
14ad4db2
157b58a3
hex59e500

5891328 has 54 divisors (see below), whose sum is σ = 16992794. Its totient is φ = 1963008.

The previous prime is 5891323. The next prime is 5891357. The reversal of 5891328 is 8231985.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 1016064 = 2208^2 + 1008^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5891292 and 5891301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5891323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1026 + ... + 3582.

Almost surely, 25891328 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 5891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496397).

5891328 is an abundant number, since it is smaller than the sum of its proper divisors (11101466).

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

5891328 is a wasteful number, since it uses less digits than its factorization.

5891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2562 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5891328 is about 2427.2058009159. The cubic root of 5891328 is about 180.6083122556.

The spelling of 5891328 in words is "five million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2557 5114 7671 10228 15342 20456 23013 30684 40912 46026 61368 81824 92052 122736 163648 184104 245472 327296 368208 490944 654592 736416 981888 1472832 1963776 2945664 5891328