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5516728 = 237294379
BaseRepresentation
bin10101000010110110111000
3101101021112021
4111002312320
52403013403
6314124224
764614520
oct25026670
911337467
105516728
113128888
121a20674
1311b2049
14a38680
1573e8bd
hex542db8

5516728 has 64 divisors (see below), whose sum is σ = 12672000. Its totient is φ = 2201472.

The previous prime is 5516723. The next prime is 5516759. The reversal of 5516728 is 8276155.

Its product of digits (16800) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 5516693 and 5516702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516723) 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 15 ways as a sum of consecutive naturals, for example, 69793 + ... + 69871.

It is an arithmetic number, because the mean of its divisors is an integer number (198000).

Almost surely, 25516728 is an apocalyptic number.

5516728 is a gapful number since it is divisible by the number (58) 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 5516728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336000).

5516728 is an abundant number, since it is smaller than the sum of its proper divisors (7155272).

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

5516728 is a wasteful number, since it uses less digits than its factorization.

5516728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 5516728 is about 2348.7715938337. The cubic root of 5516728 is about 176.6961922093.

The spelling of 5516728 in words is "five million, five hundred sixteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 29 43 56 58 79 86 116 158 172 203 232 301 316 344 406 553 602 632 812 1106 1204 1247 1624 2212 2291 2408 2494 3397 4424 4582 4988 6794 8729 9164 9976 13588 16037 17458 18328 23779 27176 32074 34916 47558 64148 69832 95116 98513 128296 190232 197026 394052 689591 788104 1379182 2758364 5516728