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4082652 = 2232717953
BaseRepresentation
bin1111100100101111011100
321200102100100
433210233130
52021121102
6223301100
746462530
oct17445734
97612310
104082652
1123393a2
12144a790
13acc392
14783bc0
15559a1c
hex3e4bdc

4082652 has 72 divisors (see below), whose sum is σ = 12501216. Its totient is φ = 1096704.

The previous prime is 4082651. The next prime is 4082681. The reversal of 4082652 is 2562804.

4082652 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 652 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082651) 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, 3808 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (173628).

Almost surely, 24082652 is an apocalyptic number.

4082652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250608).

4082652 is an abundant number, since it is smaller than the sum of its proper divisors (8418564).

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

4082652 is a wasteful number, since it uses less digits than its factorization.

4082652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4082652 is about 2020.5573488520. The cubic root of 4082652 is about 159.8260087793.

The spelling of 4082652 in words is "four million, eighty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 953 1071 1428 1906 2142 2859 3812 4284 5718 6671 8577 11436 13342 16201 17154 20013 26684 32402 34308 40026 48603 60039 64804 80052 97206 113407 120078 145809 194412 226814 240156 291618 340221 453628 583236 680442 1020663 1360884 2041326 4082652