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842912 = 2575371
BaseRepresentation
bin11001101110010100000
31120211020222
43031302200
5203433122
630022212
710110320
oct3156240
91524228
10842912
11526324
12347968
13236885
1417d280
15119b42
hexcdca0

842912 has 48 divisors (see below), whose sum is σ = 1959552. Its totient is φ = 349440.

The previous prime is 842887. The next prime is 842923. The reversal of 842912 is 219248.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842912.

It is an unprimeable number.

842912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11837 + ... + 11907.

It is an arithmetic number, because the mean of its divisors is an integer number (40824).

2842912 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 842912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776).

842912 is an abundant number, since it is smaller than the sum of its proper divisors (1116640).

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

842912 is a wasteful number, since it uses less digits than its factorization.

842912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 842912 is about 918.1023908040. The cubic root of 842912 is about 94.4627850066.

The spelling of 842912 in words is "eight hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 71 106 112 142 212 224 284 371 424 497 568 742 848 994 1136 1484 1696 1988 2272 2968 3763 3976 5936 7526 7952 11872 15052 15904 26341 30104 52682 60208 105364 120416 210728 421456 842912