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2753268 = 223773449
BaseRepresentation
bin1010100000001011110100
312011212202220
422200023310
51201101033
6135002340
732255010
oct12401364
95155686
102753268
111610631
12b093b0
1375526b
14519540
15395bb3
hex2a02f4

2753268 has 48 divisors (see below), whose sum is σ = 7459200. Its totient is φ = 774144.

The previous prime is 2753263. The next prime is 2753279. The reversal of 2753268 is 8623572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5908 + ... + 6356.

It is an arithmetic number, because the mean of its divisors is an integer number (155400).

22753268 is an apocalyptic number.

2753268 is a gapful number since it is divisible by the number (28) 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 2753268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729600).

2753268 is an abundant number, since it is smaller than the sum of its proper divisors (4705932).

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

2753268 is a wasteful number, since it uses less digits than its factorization.

2753268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 534 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2753268 is about 1659.2974416903. The cubic root of 2753268 is about 140.1574419244.

The spelling of 2753268 in words is "two million, seven hundred fifty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 449 511 876 898 1022 1347 1533 1796 2044 2694 3066 3143 5388 6132 6286 9429 12572 18858 32777 37716 65554 98331 131108 196662 229439 393324 458878 688317 917756 1376634 2753268