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5678208 = 27333153
BaseRepresentation
bin10101101010010010000000
3101200111001000
4111222102000
52423200313
6321412000
766156354
oct25522200
911614030
105678208
113229138
121a9a000
13123a6b3
14a7b464
15772673
hex56a480

5678208 has 128 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1797120.

The previous prime is 5678203. The next prime is 5678209. The reversal of 5678208 is 8028765.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (5678203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107110 + ... + 107162.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 25678208 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 5678208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

5678208 is an abundant number, since it is smaller than the sum of its proper divisors (11947392).

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

5678208 is a wasteful number, since it uses less digits than its factorization.

5678208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5678208 is about 2382.8990746568. The cubic root of 5678208 is about 178.4036624423.

It can be divided in two parts, 5678 and 208, that added together give a triangular number (5886 = T108).

The spelling of 5678208 in words is "five million, six hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 53 54 62 64 72 93 96 106 108 124 128 144 159 186 192 212 216 248 279 288 318 372 384 424 432 477 496 558 576 636 744 837 848 864 954 992 1116 1152 1272 1431 1488 1643 1674 1696 1728 1908 1984 2232 2544 2862 2976 3286 3348 3392 3456 3816 3968 4464 4929 5088 5724 5952 6572 6696 6784 7632 8928 9858 10176 11448 11904 13144 13392 14787 15264 17856 19716 20352 22896 26288 26784 29574 30528 35712 39432 44361 45792 52576 53568 59148 61056 78864 88722 91584 105152 107136 118296 157728 177444 183168 210304 236592 315456 354888 473184 630912 709776 946368 1419552 1892736 2839104 5678208