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5521632 = 253113509
BaseRepresentation
bin10101000100000011100000
3101101112020220
4111010003200
52403143012
6314203040
764635024
oct25040340
911345226
105521632
113131536
121a23480
1311b434c
14a3a384
1574108c
hex5440e0

5521632 has 48 divisors (see below), whose sum is σ = 14651280. Its totient is φ = 1820672.

The previous prime is 5521631. The next prime is 5521643. The reversal of 5521632 is 2361255.

5521632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5521631) 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, 10594 + ... + 11102.

It is an arithmetic number, because the mean of its divisors is an integer number (305235).

Almost surely, 25521632 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 5521632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640).

5521632 is an abundant number, since it is smaller than the sum of its proper divisors (9129648).

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

5521632 is a wasteful number, since it uses less digits than its factorization.

5521632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 5521632 is about 2349.8153118916. The cubic root of 5521632 is about 176.7485337117.

Adding to 5521632 its reverse (2361255), we get a palindrome (7882887).

The spelling of 5521632 in words is "five million, five hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 509 678 904 1018 1356 1527 1808 2036 2712 3054 3616 4072 5424 6108 8144 10848 12216 16288 24432 48864 57517 115034 172551 230068 345102 460136 690204 920272 1380408 1840544 2760816 5521632