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5089728 = 26372541
BaseRepresentation
bin10011011010100111000000
3100120120210110
4103122213000
52300332403
6301031320
761155600
oct23324700
910516713
105089728
112966a96
121855540
131092897
14966c00
156a8103
hex4da9c0

5089728 has 84 divisors (see below), whose sum is σ = 15694152. Its totient is φ = 1451520.

The previous prime is 5089709. The next prime is 5089729. The reversal of 5089728 is 8279805.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×50897282 = 51810662227968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5089729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9138 + ... + 9678.

Almost surely, 25089728 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 5089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847076).

5089728 is an abundant number, since it is smaller than the sum of its proper divisors (10604424).

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

5089728 is a wasteful number, since it uses less digits than its factorization.

5089728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 5089728 is about 2256.0425527902. The cubic root of 5089728 is about 172.0144210011.

The spelling of 5089728 in words is "five million, eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 541 588 672 784 1082 1176 1344 1568 1623 2164 2352 3136 3246 3787 4328 4704 6492 7574 8656 9408 11361 12984 15148 17312 22722 25968 26509 30296 34624 45444 51936 53018 60592 79527 90888 103872 106036 121184 159054 181776 212072 242368 318108 363552 424144 636216 727104 848288 1272432 1696576 2544864 5089728