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5506688 = 27113911
BaseRepresentation
bin10101000000011010000000
3101100202202102
4111000122000
52402203223
6314005532
764543325
oct25003200
911322672
105506688
113121290
121a168a8
1311aa5c5
14a34b4c
1573b928
hex540680

5506688 has 32 divisors (see below), whose sum is σ = 11970720. Its totient is φ = 2502400.

The previous prime is 5506687. The next prime is 5506717. The reversal of 5506688 is 8866055.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×55066882 = 60647225458688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5506681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548 + ... + 3363.

It is an arithmetic number, because the mean of its divisors is an integer number (374085).

Almost surely, 25506688 is an apocalyptic number.

It is an amenable number.

5506688 is an abundant number, since it is smaller than the sum of its proper divisors (6464032).

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

5506688 is a wasteful number, since it uses less digits than its factorization.

5506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 5506688 is about 2346.6333330966. The cubic root of 5506688 is about 176.5889361779.

It can be divided in two parts, 5506 and 688, that multiplied together give a triangular number (3788128 = T2752).

The spelling of 5506688 in words is "five million, five hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 3911 7822 15644 31288 43021 62576 86042 125152 172084 250304 344168 500608 688336 1376672 2753344 5506688