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2555406 = 2327171193
BaseRepresentation
bin1001101111111000001110
311210211100200
421233320032
51123233111
6130434330
730502110
oct11577016
94724320
102555406
111495a07
12a329a6
136b6199
144a73b0
15357256
hex26fe0e

2555406 has 48 divisors (see below), whose sum is σ = 6705504. Its totient is φ = 686592.

The previous prime is 2555363. The next prime is 2555429. The reversal of 2555406 is 6045552.

2555406 is a `hidden beast` number, since 255 + 5 + 406 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2555406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546 + ... + 2738.

It is an arithmetic number, because the mean of its divisors is an integer number (139698).

22555406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352752).

2555406 is an abundant number, since it is smaller than the sum of its proper divisors (4150098).

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

2555406 is a wasteful number, since it uses less digits than its factorization.

2555406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2555406 is about 1598.5637303530. The cubic root of 2555406 is about 136.7161972628.

The spelling of 2555406 in words is "two million, five hundred fifty-five thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 1193 2142 2386 3579 7158 8351 10737 16702 20281 21474 25053 40562 50106 60843 75159 121686 141967 150318 182529 283934 365058 425901 851802 1277703 2555406