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5767056 = 2432291381
BaseRepresentation
bin10101111111111110010000
3101211222220200
4111333332100
52434021211
6323335200
7100006401
oct25777620
911758820
105767056
113289969
121b21500
13126bc79
14aa19a8
1578db56
hex57ff90

5767056 has 60 divisors (see below), whose sum is σ = 16708380. Its totient is φ = 1854720.

The previous prime is 5767049. The next prime is 5767057. The reversal of 5767056 is 6507675.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 2944656 = 1680^2 + 1716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5767056.

It is not an unprimeable number, because it can be changed into a prime (5767057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3486 + ... + 4866.

It is an arithmetic number, because the mean of its divisors is an integer number (278473).

Almost surely, 25767056 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 5767056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354190).

5767056 is an abundant number, since it is smaller than the sum of its proper divisors (10941324).

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

5767056 is a wasteful number, since it uses less digits than its factorization.

5767056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5767056 is about 2401.4695500880. The cubic root of 5767056 is about 179.3293562717.

It can be divided in two parts, 576 and 7056, that multiplied together give a square (4064256 = 20162).

The spelling of 5767056 in words is "five million, seven hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1381 1392 2088 2762 4143 4176 5524 8286 11048 12429 16572 22096 24858 33144 40049 49716 66288 80098 99432 120147 160196 198864 240294 320392 360441 480588 640784 720882 961176 1441764 1922352 2883528 5767056