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269484032 = 220257
BaseRepresentation
bin10000000100000…
…000000000000000
3200210002012121002
4100010000000000
51022441442112
642423551132
76451401506
oct2004000000
9623065532
10269484032
11129131384
12762bb4a8
1343aa500c
1427b0c676
15189d21c2
hex10100000

269484032 has 42 divisors (see below), whose sum is σ = 541064958. Its totient is φ = 134217728.

The previous prime is 269484013. The next prime is 269484067. The reversal of 269484032 is 230484962.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 268435456 + 1048576 = 16384^2 + 1024^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 269484032 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1048448 + ... + 1048704.

It is an arithmetic number, because the mean of its divisors is an integer number (12882499).

Almost surely, 2269484032 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 269484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270532479).

269484032 is an abundant number, since it is smaller than the sum of its proper divisors (271580926).

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

269484032 is an frugal number, since it uses more digits than its factorization.

269484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 269484032 is about 16415.9688108866. The cubic root of 269484032 is about 645.9184335986.

The spelling of 269484032 in words is "two hundred sixty-nine million, four hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 2048 2056 4096 4112 8192 8224 16384 16448 32768 32896 65536 65792 131072 131584 262144 263168 524288 526336 1048576 1052672 2105344 4210688 8421376 16842752 33685504 67371008 134742016 269484032