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5689728 = 273211449
BaseRepresentation
bin10101101101000110000000
3101201001211200
4111231012000
52424032403
6321541200
766235062
oct25550600
911631750
105689728
113236860
121aa4800
131242a05
14a81732
15775ca3
hex56d180

5689728 has 96 divisors (see below), whose sum is σ = 17901000. Its totient is φ = 1720320.

The previous prime is 5689703. The next prime is 5689741. The reversal of 5689728 is 8279865.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (241920) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12448 + ... + 12896.

Almost surely, 25689728 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 5689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950500).

5689728 is an abundant number, since it is smaller than the sum of its proper divisors (12211272).

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

5689728 is a wasteful number, since it uses less digits than its factorization.

5689728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5689728 is about 2385.3150735280. The cubic root of 5689728 is about 178.5242299335.

It can be divided in two parts, 568 and 9728, that added together give a triangular number (10296 = T143).

The spelling of 5689728 in words is "five million, six hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 449 528 576 704 792 898 1056 1152 1347 1408 1584 1796 2112 2694 3168 3592 4041 4224 4939 5388 6336 7184 8082 9878 10776 12672 14368 14817 16164 19756 21552 28736 29634 32328 39512 43104 44451 57472 59268 64656 79024 86208 88902 118536 129312 158048 172416 177804 237072 258624 316096 355608 474144 517248 632192 711216 948288 1422432 1896576 2844864 5689728