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850464 = 25322953
BaseRepresentation
bin11001111101000100000
31121012121200
43033220200
5204203324
630121200
710141326
oct3175040
91535550
10850464
11530a6a
12350200
1323a144
14181d16
1511bec9
hexcfa20

850464 has 36 divisors (see below), whose sum is σ = 2419326. Its totient is φ = 283392.

The previous prime is 850457. The next prime is 850481. The reversal of 850464 is 464058.

It can be written as a sum of positive squares in only one way, i.e., 608400 + 242064 = 780^2 + 492^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 850464.

It is an unprimeable number.

850464 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, 1189 + ... + 1764.

2850464 is an apocalyptic number.

It is an amenable number.

850464 is an abundant number, since it is smaller than the sum of its proper divisors (1568862).

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

850464 is a wasteful number, since it uses less digits than its factorization.

850464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 850464 is about 922.2060507284. The cubic root of 850464 is about 94.7440571503.

The spelling of 850464 in words is "eight hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2953 5906 8859 11812 17718 23624 26577 35436 47248 53154 70872 94496 106308 141744 212616 283488 425232 850464