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855072 = 25322969
BaseRepresentation
bin11010000110000100000
31121102221100
43100300200
5204330242
630154400
710160631
oct3206040
91542840
10855072
11534479
12352a00
1323c27a
14183888
1511d54c
hexd0c20

855072 has 36 divisors (see below), whose sum is σ = 2432430. Its totient is φ = 284928.

The previous prime is 855067. The next prime is 855079. The reversal of 855072 is 270558.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 853776 + 1296 = 924^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×8550722 = 1462296250368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (855079) by changing a digit.

855072 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, 1197 + ... + 1772.

2855072 is an apocalyptic number.

It is an amenable number.

855072 is an abundant number, since it is smaller than the sum of its proper divisors (1577358).

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

855072 is a wasteful number, since it uses less digits than its factorization.

855072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 855072 is about 924.7010327668. The cubic root of 855072 is about 94.9148637076.

The spelling of 855072 in words is "eight hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2969 5938 8907 11876 17814 23752 26721 35628 47504 53442 71256 95008 106884 142512 213768 285024 427536 855072