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8242432 = 28112927
BaseRepresentation
bin11111011100010100000000
3120111202111021
4133130110000
54102224212
6452355224
7130026262
oct37342400
916452437
108242432
11471a730
122915b14
1319278a3
141147b32
15acc307
hex7dc500

8242432 has 36 divisors (see below), whose sum is σ = 17954496. Its totient is φ = 3745280.

The previous prime is 8242411. The next prime is 8242439. The reversal of 8242432 is 2342428.

8242432 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 8242397 and 8242406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8242439) 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, 1353 + ... + 4279.

It is an arithmetic number, because the mean of its divisors is an integer number (498736).

Almost surely, 28242432 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 8242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977248).

8242432 is an abundant number, since it is smaller than the sum of its proper divisors (9712064).

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

8242432 is a wasteful number, since it uses less digits than its factorization.

8242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2940 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 8242432 is about 2870.9636013018. The cubic root of 8242432 is about 202.0001960590. Note that the first 3 decimals are identical.

The spelling of 8242432 in words is "eight million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 2927 5854 11708 23416 32197 46832 64394 93664 128788 187328 257576 374656 515152 749312 1030304 2060608 4121216 8242432