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2770496 = 2673593
BaseRepresentation
bin1010100100011001000000
312012202101222
422210121000
51202123441
6135214212
732356151
oct12443100
95182358
102770496
111622573
12b17368
13760061
14521928
1539ad4b
hex2a4640

2770496 has 28 divisors (see below), whose sum is σ = 5582412. Its totient is φ = 1363968.

The previous prime is 2770489. The next prime is 2770499. The reversal of 2770496 is 6940772.

It can be written as a sum of positive squares in 2 ways, for example, as 1638400 + 1132096 = 1280^2 + 1064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4376 + ... + 4968.

22770496 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 2770496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791206).

2770496 is an abundant number, since it is smaller than the sum of its proper divisors (2811916).

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

2770496 is an equidigital number, since it uses as much as digits as its factorization.

2770496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 2770496 is about 1664.4806997980. The cubic root of 2770496 is about 140.4491696085.

The spelling of 2770496 in words is "two million, seven hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 593 1168 1186 2336 2372 4672 4744 9488 18976 37952 43289 86578 173156 346312 692624 1385248 2770496