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1328215548 = 223113137607
BaseRepresentation
bin100111100101010…
…1111010111111100
310102120021100012110
41033022233113330
510210010344143
6335444134020
744625434352
oct11712572774
93376240173
101328215548
1162181a000
12310997310
1318223697a
14c85877d2
157b915533
hex4f2af5fc

1328215548 has 96 divisors (see below), whose sum is σ = 3439392768. Its totient is φ = 398893440.

The previous prime is 1328215547. The next prime is 1328215561. The reversal of 1328215548 is 8455128231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328215547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2187861 + ... + 2188467.

It is an arithmetic number, because the mean of its divisors is an integer number (35827008).

Almost surely, 21328215548 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 1328215548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719696384).

1328215548 is an abundant number, since it is smaller than the sum of its proper divisors (2111177220).

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

1328215548 is a wasteful number, since it uses less digits than its factorization.

1328215548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 760 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 1328215548 is about 36444.6916299205. The cubic root of 1328215548 is about 1099.2323978096.

The spelling of 1328215548 in words is "one billion, three hundred twenty-eight million, two hundred fifteen thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 137 242 274 363 411 484 548 607 726 822 1214 1331 1452 1507 1644 1821 2428 2662 3014 3642 3993 4521 5324 6028 6677 7284 7986 9042 13354 15972 16577 18084 20031 26708 33154 40062 49731 66308 73447 80124 83159 99462 146894 166318 182347 198924 220341 249477 293788 332636 364694 440682 498954 547041 729388 807917 881364 914749 997908 1094082 1615834 1829498 2188164 2423751 2744247 3231668 3658996 4847502 5488494 9695004 10062239 10976988 20124478 30186717 40248956 60373434 110684629 120746868 221369258 332053887 442738516 664107774 1328215548