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2002538992 = 243111335729
BaseRepresentation
bin111011101011100…
…0101000111110000
312011120010112001211
41313113011013300
513100122221432
6530413205504
7100424205046
oct16727050760
95146115054
102002538992
11938421203
1247a790894
1325bb55c1c
1414dd5a396
15bac14d47
hex775c51f0

2002538992 has 40 divisors (see below), whose sum is σ = 4040634240. Its totient is φ = 960368640.

The previous prime is 2002538981. The next prime is 2002539013. The reversal of 2002538992 is 2998352002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38184 + ... + 73912.

It is an arithmetic number, because the mean of its divisors is an integer number (101015856).

Almost surely, 22002538992 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 2002538992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020317120).

2002538992 is an abundant number, since it is smaller than the sum of its proper divisors (2038095248).

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

2002538992 is a wasteful number, since it uses less digits than its factorization.

2002538992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35881 (or 35875 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 2002538992 is about 44749.7373400113. The cubic root of 2002538992 is about 1260.4539793522.

The spelling of 2002538992 in words is "two billion, two million, five hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 31 62 113 124 226 248 452 496 904 1808 3503 7006 14012 28024 35729 56048 71458 142916 285832 571664 1107599 2215198 4037377 4430396 8074754 8860792 16149508 17721584 32299016 64598032 125158687 250317374 500634748 1001269496 2002538992