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427448 = 23717449
BaseRepresentation
bin1101000010110111000
3210201100102
41220112320
5102134243
613054532
73430130
oct1502670
9721312
10427448
1127216a
12187448
1311c738
14b1ac0
15869b8
hex685b8

427448 has 32 divisors (see below), whose sum is σ = 972000. Its totient is φ = 172032.

The previous prime is 427447. The next prime is 427451. The reversal of 427448 is 844724.

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

It is a self number, because there is not a number n which added to its sum of digits gives 427448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 728 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2427448 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 427448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486000).

427448 is an abundant number, since it is smaller than the sum of its proper divisors (544552).

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

427448 is a wasteful number, since it uses less digits than its factorization.

427448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its digits is 7168, while the sum is 29.

The square root of 427448 is about 653.7950749279. The cubic root of 427448 is about 75.3288082140.

The spelling of 427448 in words is "four hundred twenty-seven thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 449 476 898 952 1796 3143 3592 6286 7633 12572 15266 25144 30532 53431 61064 106862 213724 427448