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5538816 = 21032601
BaseRepresentation
bin10101001000010000000000
3101102101211100
4111020100000
52404220231
6314414400
765036103
oct25102000
911371740
105538816
113143438
121a31400
1311bc10a
14a4273a
157461e6
hex548400

5538816 has 66 divisors (see below), whose sum is σ = 16019822. Its totient is φ = 1843200.

The previous prime is 5538763. The next prime is 5538853. The reversal of 5538816 is 6188355.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 230400 = 2304^2 + 480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8916 + ... + 9516.

Almost surely, 25538816 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 5538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8009911).

5538816 is an abundant number, since it is smaller than the sum of its proper divisors (10481006).

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

5538816 is a wasteful number, since it uses less digits than its factorization.

5538816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 606 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5538816 is about 2353.4689290492. The cubic root of 5538816 is about 176.9316982469.

The spelling of 5538816 in words is "five million, five hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 601 768 1024 1152 1202 1536 1803 2304 2404 3072 3606 4608 4808 5409 7212 9216 9616 10818 14424 19232 21636 28848 38464 43272 57696 76928 86544 115392 153856 173088 230784 307712 346176 461568 615424 692352 923136 1384704 1846272 2769408 5538816