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400026 = 231121929
BaseRepresentation
bin1100001101010011010
3202022201210
41201222122
5100300101
612323550
73254154
oct1415232
9668653
10400026
11253600
121735b6
13110103
14a5ad4
157d7d6
hex61a9a

400026 has 48 divisors (see below), whose sum is σ = 957600. Its totient is φ = 110880.

The previous prime is 400009. The next prime is 400031. The reversal of 400026 is 620004.

400026 = T18 + T19 + ... + T133.

400026 = 732 + 742 + ... + 1162.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 399984 and 400020.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400026.

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, 13780 + ... + 13808.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2400026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

400026 is an abundant number, since it is smaller than the sum of its proper divisors (557574).

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

400026 is a wasteful number, since it uses less digits than its factorization.

400026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 400026 is about 632.4760865045. The cubic root of 400026 is about 73.6822263519.

The spelling of 400026 in words is "four hundred thousand, twenty-six".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 121 174 209 242 319 363 418 551 627 638 726 957 1102 1254 1653 1914 2299 3306 3509 4598 6061 6897 7018 10527 12122 13794 18183 21054 36366 66671 133342 200013 400026