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8242896 = 243832069
BaseRepresentation
bin11111011100011011010000
3120111210010110
4133130123100
54102233041
6452401320
7130030524
oct37343320
916453113
108242896
114720012
122916240
131927b6c
141147d84
15acc516
hex7dc6d0

8242896 has 40 divisors (see below), whose sum is σ = 21561120. Its totient is φ = 2713216.

The previous prime is 8242889. The next prime is 8242919. The reversal of 8242896 is 6982428.

8242896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 2950 + ... + 5018.

It is an arithmetic number, because the mean of its divisors is an integer number (539028).

Almost surely, 28242896 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 8242896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10780560).

8242896 is an abundant number, since it is smaller than the sum of its proper divisors (13318224).

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

8242896 is a wasteful number, since it uses less digits than its factorization.

8242896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2157 counting only the distinct ones).

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

The square root of 8242896 is about 2871.0444092699. The cubic root of 8242896 is about 202.0039864586.

The spelling of 8242896 in words is "eight million, two hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 2069 3984 4138 6207 8276 12414 16552 24828 33104 49656 99312 171727 343454 515181 686908 1030362 1373816 2060724 2747632 4121448 8242896