Search a number
-
+
4530096 = 2432163193
BaseRepresentation
bin10001010001111110110000
322112011010100
4101101332300
52124430341
6241032400
753335164
oct21217660
98464110
104530096
11261458a
121625700
13c27c3c
1485cca4
155e73b6
hex451fb0

4530096 has 60 divisors (see below), whose sum is σ = 12821848. Its totient is φ = 1492992.

The previous prime is 4530091. The next prime is 4530107. The reversal of 4530096 is 6900354.

It is a happy number.

It is a super-3 number, since 3×45300963 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4530091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23376 + ... + 23568.

Almost surely, 24530096 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 4530096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410924).

4530096 is an abundant number, since it is smaller than the sum of its proper divisors (8291752).

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

4530096 is a wasteful number, since it uses less digits than its factorization.

4530096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4530096 is about 2128.4022176271. The cubic root of 4530096 is about 165.4635997870.

The spelling of 4530096 in words is "four million, five hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 193 326 386 489 579 652 772 978 1158 1304 1467 1544 1737 1956 2316 2608 2934 3088 3474 3912 4632 5868 6948 7824 9264 11736 13896 23472 27792 31459 62918 94377 125836 188754 251672 283131 377508 503344 566262 755016 1132524 1510032 2265048 4530096