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5003328 = 2631123103
BaseRepresentation
bin10011000101100001000000
3100102012021110
4103011201000
52240101303
6255123320
760345651
oct23054100
910365243
105003328
112908090
121813540
131062465
14943528
1568c703
hex4c5840

5003328 has 112 divisors (see below), whose sum is σ = 15215616. Its totient is φ = 1436160.

The previous prime is 5003309. The next prime is 5003329. The reversal of 5003328 is 8233005.

It is not an unprimeable number, because it can be changed into a prime (5003329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48525 + ... + 48627.

Almost surely, 25003328 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 5003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607808).

5003328 is an abundant number, since it is smaller than the sum of its proper divisors (10212288).

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

5003328 is a wasteful number, since it uses less digits than its factorization.

5003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5003328 is about 2236.8120171351. The cubic root of 5003328 is about 171.0355249198.

It can be divided in two parts, 500 and 3328, that added together give a triangular number (3828 = T87).

The spelling of 5003328 in words is "five million, three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 103 132 138 176 184 192 206 253 264 276 309 352 368 412 506 528 552 618 704 736 759 824 1012 1056 1104 1133 1236 1472 1518 1648 2024 2112 2208 2266 2369 2472 3036 3296 3399 4048 4416 4532 4738 4944 6072 6592 6798 7107 8096 9064 9476 9888 12144 13596 14214 16192 18128 18952 19776 24288 26059 27192 28428 36256 37904 48576 52118 54384 56856 72512 75808 78177 104236 108768 113712 151616 156354 208472 217536 227424 312708 416944 454848 625416 833888 1250832 1667776 2501664 5003328