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5784228 = 2232317173
BaseRepresentation
bin10110000100001010100100
3101212212110200
4112010022210
52440043403
6323550500
7100110432
oct26041244
911785420
105784228
1132a085a
121b2b430
131276a28
14aa7d52
15793ca3
hex5842a4

5784228 has 72 divisors (see below), whose sum is σ = 15515136. Its totient is φ = 1814400.

The previous prime is 5784223. The next prime is 5784257. The reversal of 5784228 is 8224875.

It is a happy number.

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

It is a d-powerful number, because it can be written as 53 + 75 + 82 + 410 + 219 + 222 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 5784192 and 5784201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5784221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79200 + ... + 79272.

It is an arithmetic number, because the mean of its divisors is an integer number (215488).

Almost surely, 25784228 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 5784228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757568).

5784228 is an abundant number, since it is smaller than the sum of its proper divisors (9730908).

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

5784228 is a wasteful number, since it uses less digits than its factorization.

5784228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 180 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 5784228 is about 2405.0422033719. The cubic root of 5784228 is about 179.5071704111.

The spelling of 5784228 in words is "five million, seven hundred eighty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 73 93 124 142 146 186 213 219 279 284 292 372 426 438 558 639 657 852 876 1116 1278 1314 2201 2263 2556 2628 4402 4526 5183 6603 6789 8804 9052 10366 13206 13578 15549 19809 20367 20732 26412 27156 31098 39618 40734 46647 62196 79236 81468 93294 160673 186588 321346 482019 642692 964038 1446057 1928076 2892114 5784228