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895896 = 233223541
BaseRepresentation
bin11011010101110011000
31200111221100
43122232120
5212132041
631111400
710420641
oct3325630
91614840
10895896
11562111
12372560
13254a21
141946c8
1512a6b6
hexdab98

895896 has 48 divisors (see below), whose sum is σ = 2536560. Its totient is φ = 285120.

The previous prime is 895889. The next prime is 895901. The reversal of 895896 is 698598.

Its product of digits (155520) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 895896.

It is an unprimeable number.

895896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1386 + ... + 1926.

It is an arithmetic number, because the mean of its divisors is an integer number (52845).

2895896 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 895896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268280).

895896 is an abundant number, since it is smaller than the sum of its proper divisors (1640664).

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

895896 is a wasteful number, since it uses less digits than its factorization.

895896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 569 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 895896 is about 946.5178286752. The cubic root of 895896 is about 96.4019604406.

The spelling of 895896 in words is "eight hundred ninety-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 541 552 828 1082 1623 1656 2164 3246 4328 4869 6492 9738 12443 12984 19476 24886 37329 38952 49772 74658 99544 111987 149316 223974 298632 447948 895896