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2744728 = 237232131
BaseRepresentation
bin1010011110000110011000
312011110001121
422132012120
51200312403
6134455024
732221060
oct12360630
95143047
102744728
111605178
12b04474
137513cc
145163a0
153933bd
hex29e198

2744728 has 32 divisors (see below), whose sum is σ = 6140160. Its totient is φ = 1124640.

The previous prime is 2744723. The next prime is 2744743. The reversal of 2744728 is 8274472.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 219 + 7 + 45 + 46 + 76 + 221 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 2744693 and 2744702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2744723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 2353.

It is an arithmetic number, because the mean of its divisors is an integer number (191880).

22744728 is an apocalyptic number.

2744728 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 2744728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070080).

2744728 is an abundant number, since it is smaller than the sum of its proper divisors (3395432).

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

2744728 is a wasteful number, since it uses less digits than its factorization.

2744728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2163 counting only the distinct ones).

The product of its digits is 25088, while the sum is 34.

The square root of 2744728 is about 1656.7220648015. The cubic root of 2744728 is about 140.0123798576.

The spelling of 2744728 in words is "two million, seven hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 2131 4262 8524 14917 17048 29834 49013 59668 98026 119336 196052 343091 392104 686182 1372364 2744728