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2753028 = 223429293
BaseRepresentation
bin1010100000001000000100
312011212110000
422200020010
51201044103
6135001300
732254215
oct12401004
95155400
102753028
111610433
12b09230
13755115
1451940c
15395aa3
hex2a0204

2753028 has 60 divisors (see below), whose sum is σ = 7470540. Its totient is φ = 883008.

The previous prime is 2752993. The next prime is 2753029. The reversal of 2753028 is 8203572.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 627264 = 1458^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2752992 and 2753010.

It is not an unprimeable number, because it can be changed into a prime (2753029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9250 + ... + 9542.

It is an arithmetic number, because the mean of its divisors is an integer number (124509).

22753028 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 2753028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735270).

2753028 is an abundant number, since it is smaller than the sum of its proper divisors (4717512).

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

2753028 is a wasteful number, since it uses less digits than its factorization.

2753028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2753028 is about 1659.2251203499. The cubic root of 2753028 is about 140.1533693382.

The spelling of 2753028 in words is "two million, seven hundred fifty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 293 324 348 522 586 783 879 1044 1172 1566 1758 2349 2637 3132 3516 4698 5274 7911 8497 9396 10548 15822 16994 23733 25491 31644 33988 47466 50982 76473 94932 101964 152946 229419 305892 458838 688257 917676 1376514 2753028