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4007682 = 2327171871
BaseRepresentation
bin1111010010011100000010
321112121111200
433102130002
52011221212
6221522030
746031130
oct17223402
97477450
104007682
112298038
121413316
13aa4213
14764750
155426dc
hex3d2702

4007682 has 48 divisors (see below), whose sum is σ = 10513152. Its totient is φ = 1077120.

The previous prime is 4007677. The next prime is 4007687. The reversal of 4007682 is 2867004.

It is an interprime number because it is at equal distance from previous prime (4007677) and next prime (4007687).

It is a super-3 number, since 3×40076823 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4007687) 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, 1207 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (219024).

Almost surely, 24007682 is an apocalyptic number.

4007682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256576).

4007682 is an abundant number, since it is smaller than the sum of its proper divisors (6505470).

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

4007682 is a wasteful number, since it uses less digits than its factorization.

4007682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4007682 is about 2001.9195788043. The cubic root of 4007682 is about 158.8416603363.

The spelling of 4007682 in words is "four million, seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 1871 2142 3742 5613 11226 13097 16839 26194 31807 33678 39291 63614 78582 95421 117873 190842 222649 235746 286263 445298 572526 667947 1335894 2003841 4007682