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5689656 = 233375371
BaseRepresentation
bin10101101101000100111000
3101201001202000
4111231010320
52424032111
6321541000
766234630
oct25550470
911631660
105689656
1132367a5
121aa4760
13124297b
14a816c0
15775c56
hex56d138

5689656 has 128 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 1572480.

The previous prime is 5689643. The next prime is 5689657. The reversal of 5689656 is 6569865.

5689656 = 2242 + 2252 + ... + 3042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5689657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 80101 + ... + 80171.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 25689656 is an apocalyptic number.

5689656 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 5689656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200).

5689656 is an abundant number, since it is smaller than the sum of its proper divisors (12972744).

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

5689656 is a wasteful number, since it uses less digits than its factorization.

5689656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 5689656 is about 2385.2999811344. The cubic root of 5689656 is about 178.5234768923.

The spelling of 5689656 in words is "five million, six hundred eighty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 71 72 84 106 108 126 142 159 168 189 212 213 216 252 284 318 371 378 424 426 477 497 504 568 636 639 742 756 852 954 994 1113 1272 1278 1431 1484 1491 1512 1704 1908 1917 1988 2226 2556 2862 2968 2982 3339 3763 3816 3834 3976 4452 4473 5112 5724 5964 6678 7526 7668 8904 8946 10017 11289 11448 11928 13356 13419 15052 15336 17892 20034 22578 26341 26712 26838 30104 33867 35784 40068 45156 52682 53676 67734 79023 80136 90312 101601 105364 107352 135468 158046 203202 210728 237069 270936 316092 406404 474138 632184 711207 812808 948276 1422414 1896552 2844828 5689656