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5685888 = 273131767
BaseRepresentation
bin10101101100001010000000
3101200212120110
4111230022000
52423422023
6321511320
766220635
oct25541200
911625513
105685888
11323398a
121aa2540
131241040
14a8018c
15774a93
hex56c280

5685888 has 128 divisors (see below), whose sum is σ = 17478720. Its totient is φ = 1622016.

The previous prime is 5685887. The next prime is 5685961. The reversal of 5685888 is 8885865.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5685887) 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, 84831 + ... + 84897.

Almost surely, 25685888 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 5685888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739360).

5685888 is an abundant number, since it is smaller than the sum of its proper divisors (11792832).

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

5685888 is a wasteful number, since it uses less digits than its factorization.

5685888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 614400, while the sum is 48.

The square root of 5685888 is about 2384.5100125602. The cubic root of 5685888 is about 178.4840588672.

The spelling of 5685888 in words is "five million, six hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 67 68 78 96 102 104 128 134 136 156 192 201 204 208 221 268 272 312 384 402 408 416 442 536 544 624 663 804 816 832 871 884 1072 1088 1139 1248 1326 1608 1632 1664 1742 1768 2144 2176 2278 2496 2613 2652 3216 3264 3417 3484 3536 4288 4556 4992 5226 5304 6432 6528 6834 6968 7072 8576 9112 10452 10608 12864 13668 13936 14144 14807 18224 20904 21216 25728 27336 27872 28288 29614 36448 41808 42432 44421 54672 55744 59228 72896 83616 84864 88842 109344 111488 118456 145792 167232 177684 218688 236912 334464 355368 437376 473824 710736 947648 1421472 1895296 2842944 5685888