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855456 = 25371967
BaseRepresentation
bin11010000110110100000
31121110110120
43100312200
5204333311
630200240
710162020
oct3206640
91543416
10855456
11534798
12353080
1323c4b4
14183a80
1511d706
hexd0da0

855456 has 96 divisors (see below), whose sum is σ = 2741760. Its totient is φ = 228096.

The previous prime is 855431. The next prime is 855461. The reversal of 855456 is 654558.

It is a tau number, because it is divible by the number of its divisors (96).

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, 12735 + ... + 12801.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2855456 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 855456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880).

855456 is an abundant number, since it is smaller than the sum of its proper divisors (1886304).

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

855456 is a wasteful number, since it uses less digits than its factorization.

855456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 855456 is about 924.9086441374. The cubic root of 855456 is about 94.9290698614.

The spelling of 855456 in words is "eight hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 67 76 84 96 112 114 133 134 152 168 201 224 228 266 268 304 336 399 402 456 469 532 536 608 672 798 804 912 938 1064 1072 1273 1407 1596 1608 1824 1876 2128 2144 2546 2814 3192 3216 3752 3819 4256 5092 5628 6384 6432 7504 7638 8911 10184 11256 12768 15008 15276 17822 20368 22512 26733 30552 35644 40736 45024 53466 61104 71288 106932 122208 142576 213864 285152 427728 855456