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2002745052 = 223272113853
BaseRepresentation
bin111011101011111…
…0111011011011100
312011120111222201200
41313113313123130
513100200320202
6530421435500
7100426023600
oct16727673334
95146458650
102002745052
11938552000
1247a86bb90
1325bbc8959
1414ddb1500
15bac55e1c
hex775f76dc

2002745052 has 216 divisors, whose sum is σ = 6485077872. Its totient is φ = 519583680.

The previous prime is 2002745051. The next prime is 2002745071. The reversal of 2002745052 is 2505472002.

2002745052 is a `hidden beast` number, since 200 + 2 + 7 + 450 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002745051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2347458 + ... + 2348310.

Almost surely, 22002745052 is an apocalyptic number.

2002745052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002745052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242538936).

2002745052 is an abundant number, since it is smaller than the sum of its proper divisors (4482332820).

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

2002745052 is a wasteful number, since it uses less digits than its factorization.

2002745052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2002745052 is about 44752.0396406689. The cubic root of 2002745052 is about 1260.4972111761.

The spelling of 2002745052 in words is "two billion, two million, seven hundred forty-five thousand, fifty-two".