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2009523872 = 253712791327
BaseRepresentation
bin111011111000110…
…1110011010100000
312012001021101112002
41313301232122200
513103414230442
6531223023132
7100540446116
oct16761563240
95161241462
102009523872
11941362034
12480b9aaa8
132604302a5
14150c57ab6
15bb644732
hex77c6e6a0

2009523872 has 48 divisors (see below), whose sum is σ = 4069416960. Its totient is φ = 976105728.

The previous prime is 2009523851. The next prime is 2009523889. The reversal of 2009523872 is 2783259002.

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, 1513673 + ... + 1514999.

It is an arithmetic number, because the mean of its divisors is an integer number (84779520).

Almost surely, 22009523872 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 2009523872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034708480).

2009523872 is an abundant number, since it is smaller than the sum of its proper divisors (2059893088).

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

2009523872 is a wasteful number, since it uses less digits than its factorization.

2009523872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2009523872 is about 44827.7132140376. The cubic root of 2009523872 is about 1261.9177716220.

The spelling of 2009523872 in words is "two billion, nine million, five hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1279 1327 2558 2654 5116 5308 10232 10616 20464 21232 40928 42464 47323 49099 94646 98198 189292 196396 378584 392792 757168 785584 1514336 1571168 1697233 3394466 6788932 13577864 27155728 54311456 62797621 125595242 251190484 502380968 1004761936 2009523872