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8229468 = 2231371743
BaseRepresentation
bin11111011001001001011100
3120111002201010
4133121021130
54101320333
6452215220
7126643422
oct37311134
916432633
108229468
114710a15
12290a510
131921a10
141143112
15ac8563
hex7d925c

8229468 has 48 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 2493120.

The previous prime is 8229461. The next prime is 8229511. The reversal of 8229468 is 8649228.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8229461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10705 + ... + 11447.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 28229468 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 8229468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

8229468 is an abundant number, since it is smaller than the sum of its proper divisors (12769188).

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

8229468 is a wasteful number, since it uses less digits than its factorization.

8229468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 832 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 8229468 is about 2868.7049342866. The cubic root of 8229468 is about 201.8942360427.

The spelling of 8229468 in words is "eight million, two hundred twenty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 743 852 923 1486 1846 2229 2769 2972 3692 4458 5538 8916 9659 11076 19318 28977 38636 52753 57954 105506 115908 158259 211012 316518 633036 685789 1371578 2057367 2743156 4114734 8229468