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5318656 = 2117253
BaseRepresentation
bin10100010010100000000000
3101000012211021
4110102200000
52330144111
6305555224
763131200
oct24224000
911005737
105318656
113002a92
121945b14
131142b45
149c6400
15700d71
hex512800

5318656 has 72 divisors (see below), whose sum is σ = 12604410. Its totient is φ = 2236416.

The previous prime is 5318653. The next prime is 5318657. The reversal of 5318656 is 6568135.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 1254400 = 2016^2 + 1120^2 .

It is not an unprimeable number, because it can be changed into a prime (5318653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100326 + ... + 100378.

Almost surely, 25318656 is an apocalyptic number.

5318656 is a gapful number since it is divisible by the number (56) 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 5318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302205).

5318656 is an abundant number, since it is smaller than the sum of its proper divisors (7285754).

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

5318656 is an equidigital number, since it uses as much as digits as its factorization.

5318656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 5318656 is about 2306.2211515811. The cubic root of 5318656 is about 174.5556728025. Note that the first 3 decimals are identical.

The spelling of 5318656 in words is "five million, three hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 512 742 784 848 896 1024 1484 1568 1696 1792 2048 2597 2968 3136 3392 3584 5194 5936 6272 6784 7168 10388 11872 12544 13568 14336 20776 23744 25088 27136 41552 47488 50176 54272 83104 94976 100352 108544 166208 189952 332416 379904 664832 759808 1329664 2659328 5318656