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5505344 = 26132509
BaseRepresentation
bin10101000000000101000000
3101100200220122
4111000011000
52402132334
6313555412
764536365
oct25000500
911320818
105505344
113120279
121a15b68
1311a9b00
14a3446c
1573b32e
hex540140

5505344 has 42 divisors (see below), whose sum is σ = 11852910. Its totient is φ = 2535936.

The previous prime is 5505343. The next prime is 5505347. The reversal of 5505344 is 4435055.

It can be written as a sum of positive squares in 3 ways, for example, as 160000 + 5345344 = 400^2 + 2312^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505343) by changing a digit.

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, 10562 + ... + 11070.

Almost surely, 25505344 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 5505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926455).

5505344 is an abundant number, since it is smaller than the sum of its proper divisors (6347566).

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

5505344 is a wasteful number, since it uses less digits than its factorization.

5505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 5505344 is about 2346.3469479171. The cubic root of 5505344 is about 176.5745685070.

The spelling of 5505344 in words is "five million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 509 676 832 1018 1352 2036 2704 4072 5408 6617 8144 10816 13234 16288 26468 32576 52936 86021 105872 172042 211744 344084 423488 688168 1376336 2752672 5505344