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856032 = 25337241
BaseRepresentation
bin11010000111111100000
31121111020220
43100333200
5204343112
630203040
710163502
oct3207740
91544226
10856032
11535171
12353480
1323c838
14183d72
1511d98c
hexd0fe0

856032 has 48 divisors (see below), whose sum is σ = 2317392. Its totient is φ = 276480.

The previous prime is 856021. The next prime is 856043. The reversal of 856032 is 230658.

856032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (856021) and next prime (856043).

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 (24).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 855993 and 856011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3432 + ... + 3672.

It is an arithmetic number, because the mean of its divisors is an integer number (48279).

2856032 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 856032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158696).

856032 is an abundant number, since it is smaller than the sum of its proper divisors (1461360).

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

856032 is a wasteful number, since it uses less digits than its factorization.

856032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 856032 is about 925.2199738441. The cubic root of 856032 is about 94.9503711232.

The spelling of 856032 in words is "eight hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 241 296 444 482 592 723 888 964 1184 1446 1776 1928 2892 3552 3856 5784 7712 8917 11568 17834 23136 26751 35668 53502 71336 107004 142672 214008 285344 428016 856032