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4082274 = 2327179181
BaseRepresentation
bin1111100100101001100010
321200101211100
433210221202
52021113044
6223255230
746461450
oct17445142
97611740
104082274
112339089
12144a516
13acc161
147839d0
15559869
hex3e4a62

4082274 has 48 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 1153440.

The previous prime is 4082257. The next prime is 4082311. The reversal of 4082274 is 4722804.

4082274 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40822742 = 33329922022152, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22464 + ... + 22644.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 24082274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

4082274 is an abundant number, since it is smaller than the sum of its proper divisors (6138846).

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

4082274 is a wasteful number, since it uses less digits than its factorization.

4082274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4082274 is about 2020.4638081391. The cubic root of 4082274 is about 159.8210760301.

It can be divided in two parts, 4082 and 274, that added together give a square (4356 = 662).

The spelling of 4082274 in words is "four million, eighty-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 181 358 362 537 543 1074 1086 1253 1267 1611 1629 2506 2534 3222 3258 3759 3801 7518 7602 11277 11403 22554 22806 32399 64798 97197 194394 226793 291591 453586 583182 680379 1360758 2041137 4082274