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4381008 = 243107853
BaseRepresentation
bin10000101101100101010000
322020120121120
4100231211100
52110143013
6233522240
752144422
oct20554520
98216546
104381008
112522575
121573380
13ba5118
14820812
155b8123
hex42d950

4381008 has 40 divisors (see below), whose sum is σ = 11436768. Its totient is φ = 1444992.

The previous prime is 4381007. The next prime is 4381009. The reversal of 4381008 is 8001834.

It is an interprime number because it is at equal distance from previous prime (4381007) and next prime (4381009).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4710 + ... + 5562.

Almost surely, 24381008 is an apocalyptic number.

4381008 is a gapful number since it is divisible by the number (48) 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 4381008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718384).

4381008 is an abundant number, since it is smaller than the sum of its proper divisors (7055760).

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

4381008 is a wasteful number, since it uses less digits than its factorization.

4381008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4381008 is about 2093.0857603070. The cubic root of 4381008 is about 163.6281481846.

The spelling of 4381008 in words is "four million, three hundred eighty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 853 856 1284 1706 1712 2559 2568 3412 5118 5136 6824 10236 13648 20472 40944 91271 182542 273813 365084 547626 730168 1095252 1460336 2190504 4381008