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2029947296 = 2513474
BaseRepresentation
bin111100011111110…
…1000100110100000
312020110201000012012
41320333220212200
513124131303141
6533232452052
7101206160456
oct17077504640
95213630165
102029947296
119519414a3
124879aa028
13264731360
141538529d6
15bd32aceb
hex78fe89a0

2029947296 has 60 divisors (see below), whose sum is σ = 4397441202. Its totient is φ = 916964736.

The previous prime is 2029947277. The next prime is 2029947323. The reversal of 2029947296 is 6927499202.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1951872400 + 78074896 = 44180^2 + 8836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 43190345 + ... + 43190391.

Almost surely, 22029947296 is an apocalyptic number.

2029947296 is a gapful number since it is divisible by the number (26) 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 2029947296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198720601).

2029947296 is an abundant number, since it is smaller than the sum of its proper divisors (2367493906).

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

2029947296 is an frugal number, since it uses more digits than its factorization.

2029947296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 2029947296 is about 45054.9364221058. The cubic root of 2029947296 is about 1266.1784590703.

The spelling of 2029947296 in words is "two billion, twenty-nine million, nine hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2209 2444 4418 4888 8836 9776 17672 19552 28717 35344 57434 70688 103823 114868 207646 229736 415292 459472 830584 918944 1349699 1661168 2699398 3322336 4879681 5398796 9759362 10797592 19518724 21595184 39037448 43190368 63435853 78074896 126871706 156149792 253743412 507486824 1014973648 2029947296