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8442368 = 29111499
BaseRepresentation
bin100000001101…
…001000000000
3120212220202022
4200031020000
54130123433
6500541012
7131521214
oct40151000
916786668
108442368
114846970
1229b1768
1319978ac
14119a944
15b1b698
hex80d200

8442368 has 40 divisors (see below), whose sum is σ = 18414000. Its totient is φ = 3834880.

The previous prime is 8442367. The next prime is 8442373. The reversal of 8442368 is 8632448.

It is not an unprimeable number, because it can be changed into a prime (8442367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4883 + ... + 6381.

It is an arithmetic number, because the mean of its divisors is an integer number (460350).

Almost surely, 28442368 is an apocalyptic number.

8442368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207000).

8442368 is an abundant number, since it is smaller than the sum of its proper divisors (9971632).

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

8442368 is a wasteful number, since it uses less digits than its factorization.

8442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1512 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 8442368 is about 2905.5753302917. The cubic root of 8442368 is about 203.6204656729.

The spelling of 8442368 in words is "eight million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 1499 2816 2998 5632 5996 11992 16489 23984 32978 47968 65956 95936 131912 191872 263824 383744 527648 767488 1055296 2110592 4221184 8442368