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406026 = 23373103
BaseRepresentation
bin1100011001000001010
3202121222000
41203020022
5100443101
612411430
73310515
oct1431012
9677860
10406026
11258065
12176b76
13112a6a
14a7d7c
1580486
hex6320a

406026 has 32 divisors (see below), whose sum is σ = 923520. Its totient is φ = 132192.

The previous prime is 406013. The next prime is 406027. The reversal of 406026 is 620604.

It is a super-2 number, since 2×4060262 = 329714225352, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (406027) by changing a digit.

406026 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3891 + ... + 3993.

It is an arithmetic number, because the mean of its divisors is an integer number (28860).

2406026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461760).

406026 is an abundant number, since it is smaller than the sum of its proper divisors (517494).

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

406026 is a wasteful number, since it uses less digits than its factorization.

406026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 406026 is about 637.2016949130. The cubic root of 406026 is about 74.0487869179.

The spelling of 406026 in words is "four hundred six thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 54 73 103 146 206 219 309 438 618 657 927 1314 1854 1971 2781 3942 5562 7519 15038 22557 45114 67671 135342 203013 406026