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5516544 = 28311653
BaseRepresentation
bin10101000010110100000000
3101101021021110
4111002310000
52403012134
6314123320
764614135
oct25026400
911337243
105516544
113128730
121a20540
1311b1c37
14a3858c
1573e7e9
hex542d00

5516544 has 72 divisors (see below), whose sum is σ = 16041312. Its totient is φ = 1669120.

The previous prime is 5516521. The next prime is 5516549. The reversal of 5516544 is 4456155.

5516544 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8122 + ... + 8774.

It is an arithmetic number, because the mean of its divisors is an integer number (222796).

Almost surely, 25516544 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 5516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020656).

5516544 is an abundant number, since it is smaller than the sum of its proper divisors (10524768).

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

5516544 is a wasteful number, since it uses less digits than its factorization.

5516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 5516544 is about 2348.7324240960. The cubic root of 5516544 is about 176.6942277320.

The spelling of 5516544 in words is "five million, five hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 653 704 768 1056 1306 1408 1959 2112 2612 2816 3918 4224 5224 7183 7836 8448 10448 14366 15672 20896 21549 28732 31344 41792 43098 57464 62688 83584 86196 114928 125376 167168 172392 229856 250752 344784 459712 501504 689568 919424 1379136 1838848 2758272 5516544