Search a number
-
+
266262752 = 2575920147
BaseRepresentation
bin11111101111011…
…01100011100000
3200120000112211102
433313231203200
51021130402002
642230533532
76412124150
oct1767554340
9616015742
10266262752
11127331168
12752072a8
1343217a32
1427510760
1518597a02
hexfded8e0

266262752 has 48 divisors (see below), whose sum is σ = 609275520. Its totient is φ = 112172928.

The previous prime is 266262727. The next prime is 266262779. The reversal of 266262752 is 257262662.

It is a super-2 number, since 2×2662627522 = 141791706205227008, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3143 + ... + 23289.

It is an arithmetic number, because the mean of its divisors is an integer number (12693240).

Almost surely, 2266262752 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 266262752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304637760).

266262752 is an abundant number, since it is smaller than the sum of its proper divisors (343012768).

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

266262752 is a wasteful number, since it uses less digits than its factorization.

266262752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223 (or 20215 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 266262752 is about 16317.5596214630. The cubic root of 266262752 is about 643.3344460831.

The spelling of 266262752 in words is "two hundred sixty-six million, two hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 6608 13216 20147 40294 80588 141029 161176 282058 322352 564116 644704 1128232 1188673 2256464 2377346 4512928 4754692 8320711 9509384 16641422 19018768 33282844 38037536 66565688 133131376 266262752