Search a number
-
+
4530514428 = 22321124722129
BaseRepresentation
bin1000011100000101…
…00010100111111100
3102200201221222102200
410032002202213330
533234302430203
62025320351500
7220161510606
oct41602424774
912621858380
104530514428
111a153a2600
12a65315590
135727cb98b
1430d9b0176
151b7b199a3
hex10e0a29fc

4530514428 has 108 divisors (see below), whose sum is σ = 12856290720. Its totient is φ = 1343612160.

The previous prime is 4530514427. The next prime is 4530514459. The reversal of 4530514428 is 8244150354.

It is a happy number.

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 = 4530514392 and 4530514401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4530514423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193668 + ... + 215796.

Almost surely, 24530514428 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 4530514428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428145360).

4530514428 is an abundant number, since it is smaller than the sum of its proper divisors (8325776292).

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

4530514428 is a wasteful number, since it uses less digits than its factorization.

4530514428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22208 (or 22192 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4530514428 is about 67309.0961757770. The cubic root of 4530514428 is about 1654.6869404782.

The spelling of 4530514428 in words is "four billion, five hundred thirty million, five hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 121 132 141 188 198 242 282 363 396 423 484 517 564 726 846 1034 1089 1452 1551 1692 2068 2178 3102 4356 4653 5687 6204 9306 11374 17061 18612 22129 22748 34122 44258 51183 66387 68244 88516 102366 132774 199161 204732 243419 265548 398322 486838 730257 796644 973676 1040063 1460514 2080126 2190771 2677609 2921028 3120189 4160252 4381542 5355218 6240378 8032827 8763084 9360567 10710436 11440693 12480756 16065654 18721134 22881386 24098481 32131308 34322079 37442268 45762772 48196962 68644158 96393924 102966237 125847623 137288316 205932474 251695246 377542869 411864948 503390492 755085738 1132628607 1510171476 2265257214 4530514428