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5289984 = 21132741
BaseRepresentation
bin10100001011100000000000
3100221202111100
4110023200000
52323234414
6305214400
762651460
oct24134000
910852440
105289984
112a93497
121931400
131132a8b
149b9ba0
156e7609
hex50b800

5289984 has 144 divisors (see below), whose sum is σ = 17886960. Its totient is φ = 1474560.

The previous prime is 5289979. The next prime is 5290007. The reversal of 5289984 is 4899825.

It is a tau number, because it is divible by the number of its divisors (144).

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, 129004 + ... + 129044.

It is an arithmetic number, because the mean of its divisors is an integer number (124215).

Almost surely, 25289984 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 5289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943480).

5289984 is an abundant number, since it is smaller than the sum of its proper divisors (12596976).

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

5289984 is a wasteful number, since it uses less digits than its factorization.

5289984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 5289984 is about 2299.9965217365. The cubic root of 5289984 is about 174.2414404888.

The spelling of 5289984 in words is "five million, two hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 64 72 82 84 96 112 123 126 128 144 164 168 192 224 246 252 256 287 288 328 336 369 384 448 492 504 512 574 576 656 672 738 768 861 896 984 1008 1024 1148 1152 1312 1344 1476 1536 1722 1792 1968 2016 2048 2296 2304 2583 2624 2688 2952 3072 3444 3584 3936 4032 4592 4608 5166 5248 5376 5904 6144 6888 7168 7872 8064 9184 9216 10332 10496 10752 11808 13776 14336 15744 16128 18368 18432 20664 20992 21504 23616 27552 31488 32256 36736 41328 41984 43008 47232 55104 62976 64512 73472 82656 83968 94464 110208 125952 129024 146944 165312 188928 220416 251904 293888 330624 377856 440832 587776 661248 755712 881664 1322496 1763328 2644992 5289984