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427812 = 223711463
BaseRepresentation
bin1101000011100100100
3210201211220
41220130210
5102142222
613100340
73431160
oct1503444
9721756
10427812
11272470
121876b0
1311c958
14b1ca0
1586b5c
hex68724

427812 has 48 divisors (see below), whose sum is σ = 1247232. Its totient is φ = 110880.

The previous prime is 427789. The next prime is 427813. The reversal of 427812 is 218724.

It is not an unprimeable number, because it can be changed into a prime (427813) 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, 693 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (25984).

2427812 is an apocalyptic number.

427812 is a gapful number since it is divisible by the number (42) 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 427812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623616).

427812 is an abundant number, since it is smaller than the sum of its proper divisors (819420).

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

427812 is a wasteful number, since it uses less digits than its factorization.

427812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 427812 is about 654.0733903776. The cubic root of 427812 is about 75.3501846205.

The spelling of 427812 in words is "four hundred twenty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 463 924 926 1389 1852 2778 3241 5093 5556 6482 9723 10186 12964 15279 19446 20372 30558 35651 38892 61116 71302 106953 142604 213906 427812