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4000986 = 232113167
BaseRepresentation
bin1111010000110011011010
321112021022200
433100303122
52011012421
6221431030
746002453
oct17206332
97467280
104000986
112293000
12140b476
13aa1162
1476212a
15540726
hex3d0cda

4000986 has 48 divisors (see below), whose sum is σ = 9592128. Its totient is φ = 1205160.

The previous prime is 4000979. The next prime is 4000987. The reversal of 4000986 is 6890004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000987) 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, 23875 + ... + 24041.

It is an arithmetic number, because the mean of its divisors is an integer number (199836).

Almost surely, 24000986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796064).

4000986 is an abundant number, since it is smaller than the sum of its proper divisors (5591142).

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

4000986 is a wasteful number, since it uses less digits than its factorization.

4000986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4000986 is about 2000.2464848113. The cubic root of 4000986 is about 158.7531472706.

The spelling of 4000986 in words is "four million, nine hundred eighty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 167 198 242 334 363 501 726 1002 1089 1331 1503 1837 2178 2662 3006 3674 3993 5511 7986 11022 11979 16533 20207 23958 33066 40414 60621 121242 181863 222277 363726 444554 666831 1333662 2000493 4000986