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5686632 = 233373761
BaseRepresentation
bin10101101100010101101000
3101200220121000
4111230111220
52423433012
6321515000
766223050
oct25542550
911626530
105686632
1132344a6
121aa2a60
131241493
14a80560
15774ddc
hex56c568

5686632 has 64 divisors (see below), whose sum is σ = 18057600. Its totient is φ = 1624320.

The previous prime is 5686631. The next prime is 5686633. The reversal of 5686632 is 2366865.

5686632 is a `hidden beast` number, since 568 + 66 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (5686631) and next prime (5686633).

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

It is not an unprimeable number, because it can be changed into a prime (5686631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369 + ... + 3392.

It is an arithmetic number, because the mean of its divisors is an integer number (282150).

Almost surely, 25686632 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 5686632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028800).

5686632 is an abundant number, since it is smaller than the sum of its proper divisors (12370968).

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

5686632 is a wasteful number, since it uses less digits than its factorization.

5686632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3773 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5686632 is about 2384.6660143509. Note that the first 3 decimals coincide. The cubic root of 5686632 is about 178.4918434236.

The spelling of 5686632 in words is "five million, six hundred eighty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3761 7522 11283 15044 22566 26327 30088 33849 45132 52654 67698 78981 90264 101547 105308 135396 157962 203094 210616 236943 270792 315924 406188 473886 631848 710829 812376 947772 1421658 1895544 2843316 5686632