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2752118032 = 241718155901
BaseRepresentation
bin1010010000001001…
…1111110100010000
321002210121002012111
42210002133310100
521114020234112
61133031235104
7125125421506
oct24402376420
97083532174
102752118032
111192554014
12649818a94
1334b233c11
141c171c676
1511192c5a7
hexa409fd10

2752118032 has 40 divisors (see below), whose sum is σ = 5677183512. Its totient is φ = 1287936000.

The previous prime is 2752118021. The next prime is 2752118069. The reversal of 2752118032 is 2308112572.

It can be written as a sum of positive squares in 4 ways, for example, as 593214736 + 2158903296 = 24356^2 + 46464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2752117985 and 2752118003.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21282 + ... + 77182.

Almost surely, 22752118032 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 2752118032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838591756).

2752118032 is an abundant number, since it is smaller than the sum of its proper divisors (2925065480).

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

2752118032 is a wasteful number, since it uses less digits than its factorization.

2752118032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56107 (or 56101 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2752118032 is about 52460.6331643071. The cubic root of 2752118032 is about 1401.3792584167.

The spelling of 2752118032 in words is "two billion, seven hundred fifty-two million, one hundred eighteen thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 181 272 362 724 1448 2896 3077 6154 12308 24616 49232 55901 111802 223604 447208 894416 950317 1900634 3801268 7602536 10118081 15205072 20236162 40472324 80944648 161889296 172007377 344014754 688029508 1376059016 2752118032