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1325271328 = 25313736107
BaseRepresentation
bin100111011111110…
…0000100100100000
310102100201202111021
41032333200210200
510203232140303
6335301055224
744561422543
oct11677404440
93370652437
101325271328
11620098a67
1230b9b7514
13181745824
14c801c85a
157b532ebd
hex4efe0920

1325271328 has 48 divisors (see below), whose sum is σ = 2766161664. Its totient is φ = 623911680.

The previous prime is 1325271317. The next prime is 1325271341. The reversal of 1325271328 is 8231725231.

It is a junction number, because it is equal to n+sod(n) for n = 1325271293 and 1325271302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18651 + ... + 54757.

It is an arithmetic number, because the mean of its divisors is an integer number (57628368).

Almost surely, 21325271328 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 1325271328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383080832).

1325271328 is an abundant number, since it is smaller than the sum of its proper divisors (1440890336).

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

1325271328 is a wasteful number, since it uses less digits than its factorization.

1325271328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36185 (or 36177 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 1325271328 is about 36404.2762323329. The cubic root of 1325271328 is about 1098.4195838809.

Adding to 1325271328 its reverse (8231725231), we get a palindrome (9556996559).

The spelling of 1325271328 in words is "one billion, three hundred twenty-five million, two hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 992 1147 1184 2294 4588 9176 18352 36107 36704 72214 144428 288856 577712 1119317 1155424 1335959 2238634 2671918 4477268 5343836 8954536 10687672 17909072 21375344 35818144 41414729 42750688 82829458 165658916 331317832 662635664 1325271328