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5731328 = 21029193
BaseRepresentation
bin10101110111010000000000
3101210011220102
4111313100000
52431400303
6322501532
766500261
oct25672000
911704812
105731328
113265039
121b048a8
131258925
14a92968
15783288
hex577400

5731328 has 44 divisors (see below), whose sum is σ = 11913540. Its totient is φ = 2752512.

The previous prime is 5731309. The next prime is 5731339. The reversal of 5731328 is 8231375.

It can be written as a sum of positive squares in 2 ways, for example, as 2166784 + 3564544 = 1472^2 + 1888^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 5731328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29600 + ... + 29792.

Almost surely, 25731328 is an apocalyptic number.

5731328 is a gapful number since it is divisible by the number (58) 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 5731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956770).

5731328 is an abundant number, since it is smaller than the sum of its proper divisors (6182212).

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

5731328 is a wasteful number, since it uses less digits than its factorization.

5731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 5731328 is about 2394.0192146263. The cubic root of 5731328 is about 178.9582624825.

The spelling of 5731328 in words is "five million, seven hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 193 232 256 386 464 512 772 928 1024 1544 1856 3088 3712 5597 6176 7424 11194 12352 14848 22388 24704 29696 44776 49408 89552 98816 179104 197632 358208 716416 1432832 2865664 5731328