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427248 = 24332343
BaseRepresentation
bin1101000010011110000
3210201002000
41220103300
5102132443
613054000
73426423
oct1502360
9721060
10427248
11271aa8
12187300
1311c613
14b19ba
15868d3
hex684f0

427248 has 80 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 133056.

The previous prime is 427247. The next prime is 427249. The reversal of 427248 is 842724.

It is an interprime number because it is at equal distance from previous prime (427247) and next prime (427249).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427241) 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, 9915 + ... + 9957.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2427248 is an apocalyptic number.

427248 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 427248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

427248 is an abundant number, since it is smaller than the sum of its proper divisors (882192).

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

427248 is a wasteful number, since it uses less digits than its factorization.

427248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 427248 is about 653.6421039070. The cubic root of 427248 is about 75.3170577695.

The spelling of 427248 in words is "four hundred twenty-seven thousand, two hundred forty-eight".