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2001303552 = 21132831151
BaseRepresentation
bin111011101001001…
…0111100000000000
312011110210202100210
41313102113200000
513044313203202
6530330514120
7100410541143
oct16722274000
95143722323
102001303552
11937757a86
1247a295940
1325b8127b1
1414db1805a
15baa6dc6c
hex77497800

2001303552 has 96 divisors (see below), whose sum is σ = 5359011840. Its totient is φ = 664166400.

The previous prime is 2001303509. The next prime is 2001303559. The reversal of 2001303552 is 2553031002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001303559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1738177 + ... + 1739327.

It is an arithmetic number, because the mean of its divisors is an integer number (55823040).

Almost surely, 22001303552 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 2001303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679505920).

2001303552 is an abundant number, since it is smaller than the sum of its proper divisors (3357708288).

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

2001303552 is a wasteful number, since it uses less digits than its factorization.

2001303552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 2001303552 is about 44735.9313304194. The cubic root of 2001303552 is about 1260.1947192139.

Adding to 2001303552 its reverse (2553031002), we get a palindrome (4554334554).

The spelling of 2001303552 in words is "two billion, one million, three hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 283 384 512 566 768 849 1024 1132 1151 1536 1698 2048 2264 2302 3072 3396 3453 4528 4604 6144 6792 6906 9056 9208 13584 13812 18112 18416 27168 27624 36224 36832 54336 55248 72448 73664 108672 110496 144896 147328 217344 220992 289792 294656 325733 434688 441984 579584 589312 651466 869376 883968 977199 1178624 1302932 1738752 1767936 1954398 2357248 2605864 3535872 3908796 5211728 7071744 7817592 10423456 15635184 20846912 31270368 41693824 62540736 83387648 125081472 166775296 250162944 333550592 500325888 667101184 1000651776 2001303552