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8381968 = 247671117
BaseRepresentation
bin11111111110011000010000
3120202211220021
4133332120100
54121210333
6455353224
7131150140
oct37763020
916684807
108381968
114805551
122982814
13197625a
141182920
15b0882d
hex7fe610

8381968 has 40 divisors (see below), whose sum is σ = 18853952. Its totient is φ = 3535488.

The previous prime is 8381963. The next prime is 8381977. The reversal of 8381968 is 8691838.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8381963) 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 7 ways as a sum of consecutive naturals, for example, 6946 + ... + 8062.

Almost surely, 28381968 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 8381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9426976).

8381968 is an abundant number, since it is smaller than the sum of its proper divisors (10471984).

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

8381968 is a wasteful number, since it uses less digits than its factorization.

8381968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 8381968 is about 2895.1628624311. The cubic root of 8381968 is about 203.1337095437.

The spelling of 8381968 in words is "eight million, three hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1117 1876 2234 3752 4468 7504 7819 8936 15638 17872 31276 62552 74839 125104 149678 299356 523873 598712 1047746 1197424 2095492 4190984 8381968