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2975212772 = 2272173724133
BaseRepresentation
bin1011000101010110…
…0010010011100100
321200100101110122122
42301111202103210
522043123302042
61211121045112
7133504614500
oct26125422344
97610343578
102975212772
111297480434
126b0486798
1338551613c
142031d3300
151262e97d2
hexb15624e4

2975212772 has 72 divisors (see below), whose sum is σ = 6586554744. Its totient is φ = 1167602688.

The previous prime is 2975212763. The next prime is 2975212777. The reversal of 2975212772 is 2772125792.

It can be written as a sum of positive squares in 4 ways, for example, as 1361905216 + 1613307556 = 36904^2 + 40166^2 .

It is not an unprimeable number, because it can be changed into a prime (2975212777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111218 + ... + 135350.

It is an arithmetic number, because the mean of its divisors is an integer number (91479927).

Almost surely, 22975212772 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 2975212772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293277372).

2975212772 is an abundant number, since it is smaller than the sum of its proper divisors (3611341972).

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

2975212772 is a wasteful number, since it uses less digits than its factorization.

2975212772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24205 (or 24196 counting only the distinct ones).

The product of its digits is 246960, while the sum is 44.

The square root of 2975212772 is about 54545.5110160314. The cubic root of 2975212772 is about 1438.2664278603.

It can be divided in two parts, 29752 and 12772, that added together give a palindrome (42524).

The spelling of 2975212772 in words is "two billion, nine hundred seventy-five million, two hundred twelve thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 37 49 68 74 98 119 148 196 238 259 476 518 629 833 1036 1258 1666 1813 2516 3332 3626 4403 7252 8806 17612 24133 30821 48266 61642 96532 123284 168931 337862 410261 675724 820522 892921 1182517 1641044 1785842 2365034 2871827 3571684 4730068 5743654 6250447 11487308 12500894 15179657 20102789 25001788 30359314 40205578 43753129 60718628 80411156 87506258 106257599 175012516 212515198 425030396 743803193 1487606386 2975212772