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2852772912 = 2433114753241
BaseRepresentation
bin1010101000001001…
…1101110000110000
321100210222212202000
42222002131300300
521320302213122
61151024454000
7130460112123
oct25202356060
97323885660
102852772912
111234352570
1267747a300
13366046812
141d0c403ba
1511a6b10ac
hexaa09dc30

2852772912 has 320 divisors, whose sum is σ = 9333688320. Its totient is φ = 826675200.

The previous prime is 2852772911. The next prime is 2852773073. The reversal of 2852772912 is 2192772582.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2852772911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11837112 + ... + 11837352.

It is an arithmetic number, because the mean of its divisors is an integer number (29167776).

Almost surely, 22852772912 is an apocalyptic number.

2852772912 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 2852772912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666844160).

2852772912 is an abundant number, since it is smaller than the sum of its proper divisors (6480915408).

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

2852772912 is a wasteful number, since it uses less digits than its factorization.

2852772912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 2852772912 is about 53411.3556465290. The cubic root of 2852772912 is about 1418.2596068682.

The spelling of 2852772912 in words is "two billion, eight hundred fifty-two million, seven hundred seventy-two thousand, nine hundred twelve".