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5308632 = 233373511
BaseRepresentation
bin10100010000000011011000
3100222201002000
4110100003120
52324334012
6305441000
763060030
oct24200330
910881060
105308632
112aa64aa
121940160
13113b404
149c28c0
156ecddc
hex5100d8

5308632 has 64 divisors (see below), whose sum is σ = 16857600. Its totient is φ = 1516320.

The previous prime is 5308609. The next prime is 5308637. The reversal of 5308632 is 2368035.

It is a super-2 number, since 2×53086322 = 56363147422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5308596 and 5308605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5308637) 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 15 ways as a sum of consecutive naturals, for example, 244 + ... + 3267.

It is an arithmetic number, because the mean of its divisors is an integer number (263400).

Almost surely, 25308632 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 5308632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8428800).

5308632 is an abundant number, since it is smaller than the sum of its proper divisors (11548968).

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

5308632 is a wasteful number, since it uses less digits than its factorization.

5308632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5308632 is about 2304.0468745232. The cubic root of 5308632 is about 174.4459429222.

The spelling of 5308632 in words is "five million, three hundred eight 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 3511 7022 10533 14044 21066 24577 28088 31599 42132 49154 63198 73731 84264 94797 98308 126396 147462 189594 196616 221193 252792 294924 379188 442386 589848 663579 758376 884772 1327158 1769544 2654316 5308632