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269468928 = 28322937109
BaseRepresentation
bin10000000011111…
…100010100000000
3200210001102212200
4100003330110000
51022441001203
642423353200
76451306461
oct2003742400
9623042780
10269468928
11129120aa3
12762b2800
1343a9b191
1427b06d68
15189cc9a3
hex100fc500

269468928 has 216 divisors, whose sum is σ = 833032200. Its totient is φ = 83607552.

The previous prime is 269468893. The next prime is 269468929. The reversal of 269468928 is 829864962.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120824064 + 148644864 = 10992^2 + 12192^2 .

It is a super-2 number, since 2×2694689282 = 145227006314938368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269468929) 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, 2472138 + ... + 2472246.

Almost surely, 2269468928 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 269468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416516100).

269468928 is an abundant number, since it is smaller than the sum of its proper divisors (563563272).

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

269468928 is a wasteful number, since it uses less digits than its factorization.

269468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 269468928 is about 16415.5087645799. The cubic root of 269468928 is about 645.9063659271.

The spelling of 269468928 in words is "two hundred sixty-nine million, four hundred sixty-eight thousand, nine hundred twenty-eight".