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4528384 = 2872192
BaseRepresentation
bin10001010001100100000000
322112001202221
4101101210000
52124402014
6241020424
753330200
oct21214400
98461687
104528384
112613273
121624714
13c27223
1485c400
155e6b24
hex451900

4528384 has 81 divisors (see below), whose sum is σ = 11097387. Its totient is φ = 1838592.

The previous prime is 4528369. The next prime is 4528399. The reversal of 4528384 is 4838254.

The square root of 4528384 is 2128.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4528369) and next prime (4528399).

It is a d-powerful number, because it can be written as 45 + 55 + 222 + 82 + 37 + 86 + 48 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 238327 + ... + 238345.

Almost surely, 24528384 is an apocalyptic number.

4528384 is the 2128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4528384

4528384 is an abundant number, since it is smaller than the sum of its proper divisors (6569003).

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

4528384 is an equidigital number, since it uses as much as digits as its factorization.

4528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The cubic root of 4528384 is about 165.4427533285.

It can be divided in two parts, 452 and 8384, that added together give a square (8836 = 942).

The spelling of 4528384 in words is "four million, five hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 361 392 448 532 608 722 784 896 931 1064 1216 1444 1568 1792 1862 2128 2432 2527 2888 3136 3724 4256 4864 5054 5776 6272 7448 8512 10108 11552 12544 14896 17024 17689 20216 23104 29792 34048 35378 40432 46208 59584 70756 80864 92416 119168 141512 161728 238336 283024 323456 566048 646912 1132096 2264192 4528384