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4009014 = 23573113
BaseRepresentation
bin1111010010110000110110
321112200100000
433102300312
52011242024
6221532130
746035042
oct17226066
97480300
104009014
112299039
121414046
13aa49c9
14765022
15542cc9
hex3d2c36

4009014 has 48 divisors (see below), whose sum is σ = 9212112. Its totient is φ = 1306368.

The previous prime is 4009007. The next prime is 4009037. The reversal of 4009014 is 4109004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35422 + ... + 35534.

It is an arithmetic number, because the mean of its divisors is an integer number (191919).

Almost surely, 24009014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606056).

4009014 is an abundant number, since it is smaller than the sum of its proper divisors (5203098).

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

4009014 is a wasteful number, since it uses less digits than its factorization.

4009014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4009014 is about 2002.2522318629. The cubic root of 4009014 is about 158.8592560152.

It can be divided in two parts, 40090 and 14, that added together give a palindrome (40104).

The spelling of 4009014 in words is "four million, nine thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 73 81 113 146 162 219 226 243 339 438 486 657 678 1017 1314 1971 2034 3051 3942 5913 6102 8249 9153 11826 16498 17739 18306 24747 27459 35478 49494 54918 74241 148482 222723 445446 668169 1336338 2004507 4009014