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4327008 = 253747137
BaseRepresentation
bin10000100000011001100000
322010211112120
4100200121200
52101431013
6232424240
751531120
oct20403140
98124476
104327008
112495a44
121548080
13b8667a
14808c80
155a7123
hex420660

4327008 has 96 divisors (see below), whose sum is σ = 13353984. Its totient is φ = 1201152.

The previous prime is 4327007. The next prime is 4327019. The reversal of 4327008 is 8007234.

It is a tau number, because it is divible by the number of its divisors (96).

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 (4327007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31516 + ... + 31652.

It is an arithmetic number, because the mean of its divisors is an integer number (139104).

Almost surely, 24327008 is an apocalyptic number.

4327008 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 4327008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676992).

4327008 is an abundant number, since it is smaller than the sum of its proper divisors (9026976).

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

4327008 is a wasteful number, since it uses less digits than its factorization.

4327008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4327008 is about 2080.1461487117. The cubic root of 4327008 is about 162.9530771883.

The spelling of 4327008 in words is "four million, three hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 137 141 168 188 224 274 282 329 336 376 411 548 564 658 672 752 822 959 987 1096 1128 1316 1504 1644 1918 1974 2192 2256 2632 2877 3288 3836 3948 4384 4512 5264 5754 6439 6576 7672 7896 10528 11508 12878 13152 15344 15792 19317 23016 25756 30688 31584 38634 45073 46032 51512 77268 90146 92064 103024 135219 154536 180292 206048 270438 309072 360584 540876 618144 721168 1081752 1442336 2163504 4327008