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4082728390 = 2513231365461
BaseRepresentation
bin1111001101011001…
…0111110111000110
3101112112101002110121
43303112113313012
531330134302030
61513043012154
7203113422136
oct36326276706
911475332417
104082728390
1118056592a4
1295b36a05a
13500ac8920
142aa32aac6
1518d66747a
hexf3597dc6

4082728390 has 32 divisors (see below), whose sum is σ = 8258314176. Its totient is φ = 1441925760.

The previous prime is 4082728361. The next prime is 4082728393. The reversal of 4082728390 is 938272804.

It is a happy number.

It is a super-4 number, since 4×40827283904 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082728393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679741 + ... + 685720.

It is an arithmetic number, because the mean of its divisors is an integer number (258072318).

Almost surely, 24082728390 is an apocalyptic number.

4082728390 is an abundant number, since it is smaller than the sum of its proper divisors (4175585786).

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

4082728390 is a wasteful number, since it uses less digits than its factorization.

4082728390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365504.

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 4082728390 is about 63896.2314225182. The cubic root of 4082728390 is about 1598.2700560140.

The spelling of 4082728390 in words is "four billion, eighty-two million, seven hundred twenty-eight thousand, three hundred ninety".

Divisors: 1 2 5 10 13 23 26 46 65 115 130 230 299 598 1495 2990 1365461 2730922 6827305 13654610 17750993 31405603 35501986 62811206 88754965 157028015 177509930 314056030 408272839 816545678 2041364195 4082728390