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8242656 = 253194519
BaseRepresentation
bin11111011100010111100000
3120111202210120
4133130113200
54102231111
6452400240
7130030032
oct37342740
916452716
108242656
11471a914
122916080
131927a16
141147c52
15acc406
hex7dc5e0

8242656 has 48 divisors (see below), whose sum is σ = 22780800. Its totient is φ = 2602368.

The previous prime is 8242639. The next prime is 8242667. The reversal of 8242656 is 6562428.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 436 + ... + 4083.

It is an arithmetic number, because the mean of its divisors is an integer number (474600).

Almost surely, 28242656 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 8242656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390400).

8242656 is an abundant number, since it is smaller than the sum of its proper divisors (14538144).

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

8242656 is a wasteful number, since it uses less digits than its factorization.

8242656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4543 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 8242656 is about 2871.0026123290. The cubic root of 8242656 is about 202.0020259249.

The spelling of 8242656 in words is "eight million, two hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 4519 9038 13557 18076 27114 36152 54228 72304 85861 108456 144608 171722 216912 257583 343444 433824 515166 686888 1030332 1373776 2060664 2747552 4121328 8242656