Search a number
-
+
2566232406 = 2322359310453
BaseRepresentation
bin1001100011110101…
…1001100101010110
320121211211010001200
42120331121211112
520223423414111
61102351133330
7120410421063
oct23075314526
96554733050
102566232406
1110a7631431
125b7514246
1331b87c11a
141a4b71c6a
15100460256
hex98f59956

2566232406 has 48 divisors (see below), whose sum is σ = 5812256736. Its totient is φ = 816761088.

The previous prime is 2566232401. The next prime is 2566232419. The reversal of 2566232406 is 6042326652.

2566232406 is a `hidden beast` number, since 2 + 5 + 6 + 623 + 24 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566232401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240276 + ... + 250728.

It is an arithmetic number, because the mean of its divisors is an integer number (121088682).

Almost surely, 22566232406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566232406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906128368).

2566232406 is an abundant number, since it is smaller than the sum of its proper divisors (3246024330).

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

2566232406 is a wasteful number, since it uses less digits than its factorization.

2566232406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11077 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2566232406 is about 50657.9944924787. The cubic root of 2566232406 is about 1369.0899893767.

The spelling of 2566232406 in words is "two billion, five hundred sixty-six million, two hundred thirty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 593 1186 1779 3558 5337 10453 10674 13639 20906 27278 31359 40917 62718 81834 94077 122751 188154 240419 245502 480838 721257 1442514 2163771 4327542 6198629 12397258 18595887 37191774 55787661 111575322 142568467 285136934 427705401 855410802 1283116203 2566232406