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1528201216 = 215149313
BaseRepresentation
bin101101100010110…
…1000000000000000
310221111120122222001
41123011220000000
511112204414331
6411350353344
752604332063
oct13305500000
93844518861
101528201216
117146a2213
1236795b854
131b47b7599
14106d648da
158e26a561
hex5b168000

1528201216 has 64 divisors (see below), whose sum is σ = 3086698500. Its totient is φ = 756547584.

The previous prime is 1528201211. The next prime is 1528201237. The reversal of 1528201216 is 6121028251.

It can be written as a sum of positive squares in 2 ways, for example, as 1082146816 + 446054400 = 32896^2 + 21120^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1528201211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4882276 + ... + 4882588.

Almost surely, 21528201216 is an apocalyptic number.

1528201216 is a gapful number since it is divisible by the number (16) 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 1528201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543349250).

1528201216 is an abundant number, since it is smaller than the sum of its proper divisors (1558497284).

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

1528201216 is an frugal number, since it uses more digits than its factorization.

1528201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1528201216 is about 39092.2142632008. The cubic root of 1528201216 is about 1151.8436001667.

Adding to 1528201216 its reverse (6121028251), we get a palindrome (7649229467).

The spelling of 1528201216 in words is "one billion, five hundred twenty-eight million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 313 512 596 626 1024 1192 1252 2048 2384 2504 4096 4768 5008 8192 9536 10016 16384 19072 20032 32768 38144 40064 46637 76288 80128 93274 152576 160256 186548 305152 320512 373096 610304 641024 746192 1220608 1282048 1492384 2441216 2564096 2984768 4882432 5128192 5969536 10256384 11939072 23878144 47756288 95512576 191025152 382050304 764100608 1528201216