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2728253052 = 2232759318257
BaseRepresentation
bin1010001010011101…
…1101011001111100
321001010200121121100
42202213131121330
521041413044202
61130415533100
7124415524350
oct24247353174
97033617540
102728253052
111180033998
1264182a190
133462c9525
141bc4a9460
1510e7b641c
hexa29dd67c

2728253052 has 72 divisors (see below), whose sum is σ = 7895343456. Its totient is φ = 778143744.

The previous prime is 2728252987. The next prime is 2728253063. The reversal of 2728253052 is 2503528272.

It is a happy number.

2728253052 is a `hidden beast` number, since 2 + 72 + 8 + 2 + 530 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2728252998 and 2728253016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140308 + ... + 158564.

It is an arithmetic number, because the mean of its divisors is an integer number (109657548).

Almost surely, 22728253052 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 2728253052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947671728).

2728253052 is an abundant number, since it is smaller than the sum of its proper divisors (5167090404).

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

2728253052 is a wasteful number, since it uses less digits than its factorization.

2728253052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18867 (or 18862 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2728253052 is about 52232.6818380983. The cubic root of 2728253052 is about 1397.3168083921.

The spelling of 2728253052 in words is "two billion, seven hundred twenty-eight million, two hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 593 1186 1779 2372 3558 4151 5337 7116 8302 10674 12453 16604 18257 21348 24906 36514 37359 49812 54771 73028 74718 109542 127799 149436 164313 219084 255598 328626 383397 511196 657252 766794 1150191 1533588 2300382 4600764 10826401 21652802 32479203 43305604 64958406 75784807 97437609 129916812 151569614 194875218 227354421 303139228 389750436 454708842 682063263 909417684 1364126526 2728253052