Search a number
-
+
2748736 = 26291481
BaseRepresentation
bin1010011111000101000000
312011122120001
422133011000
51200424421
6134525344
732235544
oct12370500
95148501
102748736
111608191
12b06854
13753193
14517a24
15394691
hex29f140

2748736 has 28 divisors (see below), whose sum is σ = 5646420. Its totient is φ = 1326080.

The previous prime is 2748731. The next prime is 2748769. The reversal of 2748736 is 6378472.

It can be written as a sum of positive squares in 2 ways, for example, as 1308736 + 1440000 = 1144^2 + 1200^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2748695 and 2748704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1116 + ... + 2596.

22748736 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 2748736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823210).

2748736 is an abundant number, since it is smaller than the sum of its proper divisors (2897684).

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

2748736 is a wasteful number, since it uses less digits than its factorization.

2748736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1512 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 2748736 is about 1657.9312410350. The cubic root of 2748736 is about 140.0804979237.

The spelling of 2748736 in words is "two million, seven hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1481 1856 2962 5924 11848 23696 42949 47392 85898 94784 171796 343592 687184 1374368 2748736