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538968064 = 221257
BaseRepresentation
bin100000001000000…
…000000000000000
31101120011102012011
4200020000000000
52100433434224
6125251542304
716233103315
oct4010000000
91346142164
10538968064
11257262758
121305ba994
138787a01b
145181ad0c
15324b4394
hex20200000

538968064 has 44 divisors (see below), whose sum is σ = 1082130174. Its totient is φ = 268435456.

The previous prime is 538968043. The next prime is 538968071. The reversal of 538968064 is 460869835.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 303038464 + 235929600 = 17408^2 + 15360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 538967999 and 538968017.

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 538968064 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, 2097024 + ... + 2097280.

Almost surely, 2538968064 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 538968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541065087).

538968064 is an abundant number, since it is smaller than the sum of its proper divisors (543162110).

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

538968064 is an frugal number, since it uses more digits than its factorization.

538968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 538968064 is about 23215.6857318495. The cubic root of 538968064 is about 813.8062310060.

The spelling of 538968064 in words is "five hundred thirty-eight million, nine hundred sixty-eight thousand, sixty-four".

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 2097152 2105344 4210688 8421376 16842752 33685504 67371008 134742016 269484032 538968064