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2773328 = 242943139
BaseRepresentation
bin1010100101000101010000
312012220021212
422211011100
51202221303
6135235252
732400335
oct12450520
95186255
102773328
111624708
12b18b28
1376142c
1452298c
1539bad8
hex2a5150

2773328 has 40 divisors (see below), whose sum is σ = 5728800. Its totient is φ = 1298304.

The previous prime is 2773321. The next prime is 2773339. The reversal of 2773328 is 8233772.

It is a happy number.

It is a d-powerful number, because it can be written as 212 + 74 + 76 + 37 + 313 + 220 + 84 .

It is a junction number, because it is equal to n+sod(n) for n = 2773294 and 2773303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2773321) 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, 19883 + ... + 20021.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

22773328 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 2773328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864400).

2773328 is an abundant number, since it is smaller than the sum of its proper divisors (2955472).

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

2773328 is a wasteful number, since it uses less digits than its factorization.

2773328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 2773328 is about 1665.3311982906. The cubic root of 2773328 is about 140.4970090083.

The spelling of 2773328 in words is "two million, seven hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 43 58 86 116 139 172 232 278 344 464 556 688 1112 1247 2224 2494 4031 4988 5977 8062 9976 11954 16124 19952 23908 32248 47816 64496 95632 173333 346666 693332 1386664 2773328