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424128 = 263472
BaseRepresentation
bin1100111100011000000
3210112210110
41213203000
5102033003
613031320
73414345
oct1474300
9715713
10424128
1126a721
12185540
1311b083
14b07cc
1585a03
hex678c0

424128 has 42 divisors (see below), whose sum is σ = 1146556. Its totient is φ = 138368.

The previous prime is 424121. The next prime is 424129. The reversal of 424128 is 821424.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (424121) by changing a digit.

424128 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 5 ways as a sum of consecutive naturals, for example, 9001 + ... + 9047.

2424128 is an apocalyptic number.

424128 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 424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573278).

424128 is an abundant number, since it is smaller than the sum of its proper divisors (722428).

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

424128 is an equidigital number, since it uses as much as digits as its factorization.

424128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 52 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 424128 is about 651.2511036459. The cubic root of 424128 is about 75.1332741442.

The spelling of 424128 in words is "four hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2209 2256 3008 4418 4512 6627 8836 9024 13254 17672 26508 35344 53016 70688 106032 141376 212064 424128