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266940648 = 233213535381
BaseRepresentation
bin11111110100100…
…11000011101000
3200121021222201200
433322103003220
51021314100043
642253244200
76420646422
oct1772230350
9617258650
10266940648
11127754507
1275493660
13433c4460
1427649812
151867d7d3
hexfe930e8

266940648 has 96 divisors (see below), whose sum is σ = 793414440. Its totient is φ = 80570880.

The previous prime is 266940643. The next prime is 266940757. The reversal of 266940648 is 846049662.

It can be written as a sum of positive squares in 4 ways, for example, as 190937124 + 76003524 = 13818^2 + 8718^2 .

It is a super-3 number, since 3×2669406483 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (266940643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46918 + ... + 52298.

Almost surely, 2266940648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266940648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396707220).

266940648 is an abundant number, since it is smaller than the sum of its proper divisors (526473792).

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

266940648 is a wasteful number, since it uses less digits than its factorization.

266940648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 266940648 is about 16338.3183957224. The cubic root of 266940648 is about 643.8799526759.

The spelling of 266940648 in words is "two hundred sixty-six million, nine hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 636 689 936 954 1272 1378 1908 2067 2756 3816 4134 5381 5512 6201 8268 10762 12402 16143 16536 21524 24804 32286 43048 48429 49608 64572 69953 96858 129144 139906 193716 209859 279812 285193 387432 419718 559624 570386 629577 839436 855579 1140772 1259154 1678872 1711158 2281544 2518308 2566737 3422316 3707509 5036616 5133474 6844632 7415018 10266948 11122527 14830036 20533896 22245054 29660072 33367581 44490108 66735162 88980216 133470324 266940648