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5662656 = 263329113
BaseRepresentation
bin10101100110011111000000
3101122200201000
4111212133000
52422201111
6321212000
766063126
oct25463700
911580630
105662656
11321848a
121a91000
1312335ac
14a75916
1576cc56
hex5667c0

5662656 has 112 divisors (see below), whose sum is σ = 17373600. Its totient is φ = 1806336.

The previous prime is 5662637. The next prime is 5662663. The reversal of 5662656 is 6562665.

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 5662656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50056 + ... + 50168.

Almost surely, 25662656 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 5662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686800).

5662656 is an abundant number, since it is smaller than the sum of its proper divisors (11710944).

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

5662656 is a wasteful number, since it uses less digits than its factorization.

5662656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5662656 is about 2379.6335852395. The cubic root of 5662656 is about 178.2406373782.

Subtracting 5662656 from its reverse (6562665), we obtain a palindrome (900009).

The spelling of 5662656 in words is "five million, six hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 113 116 144 174 192 216 226 232 261 288 339 348 432 452 464 522 576 678 696 783 864 904 928 1017 1044 1356 1392 1566 1728 1808 1856 2034 2088 2712 2784 3051 3132 3277 3616 4068 4176 5424 5568 6102 6264 6554 7232 8136 8352 9831 10848 12204 12528 13108 16272 16704 19662 21696 24408 25056 26216 29493 32544 39324 48816 50112 52432 58986 65088 78648 88479 97632 104864 117972 157296 176958 195264 209728 235944 314592 353916 471888 629184 707832 943776 1415664 1887552 2831328 5662656