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428848 = 2472547
BaseRepresentation
bin1101000101100110000
3210210021021
41220230300
5102210343
613105224
73434200
oct1505460
9723237
10428848
11273222
12188214
13120274
14b2400
15870ed
hex68b30

428848 has 30 divisors (see below), whose sum is σ = 968316. Its totient is φ = 183456.

The previous prime is 428843. The next prime is 428851. The reversal of 428848 is 848824.

428848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (428843) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511 + ... + 1057.

2428848 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 428848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484158).

428848 is an abundant number, since it is smaller than the sum of its proper divisors (539468).

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

428848 is a wasteful number, since it uses less digits than its factorization.

428848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 428848 is about 654.8648715575. The cubic root of 428848 is about 75.4109588726.

The spelling of 428848 in words is "four hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 547 784 1094 2188 3829 4376 7658 8752 15316 26803 30632 53606 61264 107212 214424 428848