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3000133552 = 241319972481
BaseRepresentation
bin1011001011010010…
…0110011110110000
321202002021120112111
42302310212132300
522121013233202
61213411135104
7134226500023
oct26264463660
97662246474
103000133552
1112aa551819
126b88a4494
1338a730270
1420663d1ba
151285bd6d7
hexb2d267b0

3000133552 has 40 divisors (see below), whose sum is σ = 6291437600. Its totient is φ = 1377699840.

The previous prime is 3000133541. The next prime is 3000133559. The reversal of 3000133552 is 2553310003.

It is a happy number.

3000133552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30001335522 = 18001602659672273408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3000133559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5152 + ... + 77632.

It is an arithmetic number, because the mean of its divisors is an integer number (157285940).

Almost surely, 23000133552 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 3000133552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145718800).

3000133552 is an abundant number, since it is smaller than the sum of its proper divisors (3291304048).

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

3000133552 is a wasteful number, since it uses less digits than its factorization.

3000133552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72701 (or 72695 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 3000133552 is about 54773.4748943318. The cubic root of 3000133552 is about 1442.2709716915.

Adding to 3000133552 its reverse (2553310003), we get a palindrome (5553443555).

The spelling of 3000133552 in words is "three billion, one hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 199 208 398 796 1592 2587 3184 5174 10348 20696 41392 72481 144962 289924 579848 942253 1159696 1884506 3769012 7538024 14423719 15076048 28847438 57694876 115389752 187508347 230779504 375016694 750033388 1500066776 3000133552