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266441406 = 237112412393
BaseRepresentation
bin11111110000110…
…01001010111110
3200120100121220020
433320121022332
51021202111111
642234433010
76413500050
oct1770311276
9616317806
10266441406
11127443410
1275292766
134327b14a
14275598d0
15185d0906
hexfe192be

266441406 has 64 divisors (see below), whose sum is σ = 667408896. Its totient is φ = 68889600.

The previous prime is 266441393. The next prime is 266441419. The reversal of 266441406 is 604144662.

It is an interprime number because it is at equal distance from previous prime (266441393) and next prime (266441419).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 110146 + ... + 112538.

It is an arithmetic number, because the mean of its divisors is an integer number (10428264).

Almost surely, 2266441406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266441406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333704448).

266441406 is an abundant number, since it is smaller than the sum of its proper divisors (400967490).

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

266441406 is a wasteful number, since it uses less digits than its factorization.

266441406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 266441406 is about 16323.0329902258. The cubic root of 266441406 is about 643.4782996952.

The spelling of 266441406 in words is "two hundred sixty-six million, four hundred forty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 241 462 482 723 1446 1687 2393 2651 3374 4786 5061 5302 7179 7953 10122 14358 15906 16751 18557 26323 33502 37114 50253 52646 55671 78969 100506 111342 157938 184261 368522 552783 576713 1105566 1153426 1730139 3460278 4036991 6343843 8073982 12110973 12687686 19031529 24221946 38063058 44406901 88813802 133220703 266441406