Search a number
-
+
427008 = 2103139
BaseRepresentation
bin1101000010000000000
3210200202010
41220100000
5102131013
613052520
73425631
oct1502000
9720663
10427008
112718aa
12187140
1311c48a
14b1888
15867c3
hex68400

427008 has 44 divisors (see below), whose sum is σ = 1146320. Its totient is φ = 141312.

The previous prime is 427001. The next prime is 427013. The reversal of 427008 is 800724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (427001) by changing a digit.

427008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3003 + ... + 3141.

2427008 is an apocalyptic number.

427008 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 427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573160).

427008 is an abundant number, since it is smaller than the sum of its proper divisors (719312).

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

427008 is a wasteful number, since it uses less digits than its factorization.

427008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 427008 is about 653.4584914132. The cubic root of 427008 is about 75.3029523947.

The spelling of 427008 in words is "four hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 768 834 1024 1112 1536 1668 2224 3072 3336 4448 6672 8896 13344 17792 26688 35584 53376 71168 106752 142336 213504 427008