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4080332628 = 2232412764453
BaseRepresentation
bin1111001100110100…
…1110111101010100
3101112100212101002200
43303031032331110
531324031121003
61512515404500
7203054153331
oct36315167524
911470771080
104080332628
111804272329
1295a5b3730
1350046a308
142a9ca5988
1518d3426a3
hexf334ef54

4080332628 has 36 divisors (see below), whose sum is σ = 10565743188. Its totient is φ = 1326936960.

The previous prime is 4080332621. The next prime is 4080332671. The reversal of 4080332628 is 8262330804.

It can be written as a sum of positive squares in 2 ways, for example, as 2374807824 + 1705524804 = 48732^2 + 41298^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40803326282 = 33298228710242772768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4080332592 and 4080332601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080332621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1380751 + ... + 1383702.

Almost surely, 24080332628 is an apocalyptic number.

It is an amenable number.

4080332628 is an abundant number, since it is smaller than the sum of its proper divisors (6485410560).

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

4080332628 is a wasteful number, since it uses less digits than its factorization.

4080332628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764504 (or 2764499 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4080332628 is about 63877.4813842875. The cubic root of 4080332628 is about 1597.9573710056.

The spelling of 4080332628 in words is "four billion, eighty million, three hundred thirty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2764453 5528906 8293359 11057812 16586718 24880077 33173436 49760154 99520308 113342573 226685146 340027719 453370292 680055438 1020083157 1360110876 2040166314 4080332628