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855936 = 2732743
BaseRepresentation
bin11010000111110000000
31121111010100
43100332000
5204342221
630202400
710163304
oct3207600
91544110
10855936
11535094
12353400
1323c793
14183d04
1511d926
hexd0f80

855936 has 48 divisors (see below), whose sum is σ = 2466360. Its totient is φ = 284928.

The previous prime is 855923. The next prime is 855937. The reversal of 855936 is 639558.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 855936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855937) by changing a digit.

855936 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 5 ways as a sum of consecutive naturals, for example, 781 + ... + 1523.

2855936 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 855936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233180).

855936 is an abundant number, since it is smaller than the sum of its proper divisors (1610424).

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

855936 is a wasteful number, since it uses less digits than its factorization.

855936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 748 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 855936 is about 925.1680928350. The cubic root of 855936 is about 94.9468215766.

The spelling of 855936 in words is "eight hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 743 1152 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 23776 26748 35664 47552 53496 71328 95104 106992 142656 213984 285312 427968 855936