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427056 = 24373141
BaseRepresentation
bin1101000010000110000
3210200210220
41220100300
5102131211
613053040
73426030
oct1502060
9720726
10427056
11271943
12187180
1311c4c6
14b18c0
1586806
hex68430

427056 has 80 divisors (see below), whose sum is σ = 1333248. Its totient is φ = 115200.

The previous prime is 427043. The next prime is 427067. The reversal of 427056 is 650724.

427056 = T85 + T86 + ... + T146.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10396 + ... + 10436.

2427056 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 427056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666624).

427056 is an abundant number, since it is smaller than the sum of its proper divisors (906192).

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

427056 is a wasteful number, since it uses less digits than its factorization.

427056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 427056 is about 653.4952180391. The cubic root of 427056 is about 75.3057738924.

The spelling of 427056 in words is "four hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 41 42 48 56 62 82 84 93 112 123 124 164 168 186 217 246 248 287 328 336 372 434 492 496 574 651 656 744 861 868 984 1148 1271 1302 1488 1722 1736 1968 2296 2542 2604 3444 3472 3813 4592 5084 5208 6888 7626 8897 10168 10416 13776 15252 17794 20336 26691 30504 35588 53382 61008 71176 106764 142352 213528 427056