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2002025536 = 2672172472
BaseRepresentation
bin111011101010100…
…0111110001000000
312011112011102201221
41313111013301000
513100004304121
6530354204424
7100416636100
oct16725076100
95145142657
102002025536
11938100465
1247a583714
1325ba062c4
1414dc65200
15bab62b41
hex77547c40

2002025536 has 189 divisors, whose sum is σ = 5015895861. Its totient is φ = 790358016.

The previous prime is 2002025513. The next prime is 2002025569. The reversal of 2002025536 is 6355202002.

The square root of 2002025536 is 44744.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1558670400 + 443355136 = 39480^2 + 21056^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002025536.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42596265 + ... + 42596311.

Almost surely, 22002025536 is an apocalyptic number.

2002025536 is the 44744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002025536

2002025536 is an abundant number, since it is smaller than the sum of its proper divisors (3013870325).

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

2002025536 is an equidigital number, since it uses as much as digits as its factorization.

2002025536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The cubic root of 2002025536 is about 1260.3462422940.

Multiplying 2002025536 by its sum of digits (25), we get a square (50050638400 = 2237202).

Multiplying 2002025536 by its product of nonzero digits (3600), we get a square (7207291929600 = 26846402).

Adding to 2002025536 its reverse (6355202002), we get a palindrome (8357227538).

The spelling of 2002025536 in words is "two billion, two million, twenty-five thousand, five hundred thirty-six".