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269041824 = 253619607
BaseRepresentation
bin10000000010010…
…100000010100000
3200202020202000000
4100002110002200
51022333314244
642410300000
76444550332
oct2002240240
9622222000
10269041824
1112895a117
1276127600
134397b95c
1427a35452
1518946169
hex100940a0

269041824 has 168 divisors, whose sum is σ = 837325440. Its totient is φ = 84820608.

The previous prime is 269041823. The next prime is 269041853. The reversal of 269041824 is 428140962.

It is a super-2 number, since 2×2690418242 = 144767006122493952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (269041823) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 442929 + ... + 443535.

It is an arithmetic number, because the mean of its divisors is an integer number (4984080).

Almost surely, 2269041824 is an apocalyptic number.

269041824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269041824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418662720).

269041824 is an abundant number, since it is smaller than the sum of its proper divisors (568283616).

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

269041824 is an equidigital number, since it uses as much as digits as its factorization.

269041824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 269041824 is about 16402.4944444435. The cubic root of 269041824 is about 645.5649350091.

The spelling of 269041824 in words is "two hundred sixty-nine million, forty-one thousand, eight hundred twenty-four".