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830752 = 25131997
BaseRepresentation
bin11001010110100100000
31120012120121
43022310200
5203041002
625450024
710030006
oct3126440
91505517
10830752
1151817a
12340914
13231190
14178a76
15116237
hexcad20

830752 has 24 divisors (see below), whose sum is σ = 1762236. Its totient is φ = 383232.

The previous prime is 830743. The next prime is 830777. The reversal of 830752 is 257038.

It can be written as a sum of positive squares in 2 ways, for example, as 633616 + 197136 = 796^2 + 444^2 .

It is an unprimeable number.

830752 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 3 ways as a sum of consecutive naturals, for example, 583 + ... + 1414.

2830752 is an apocalyptic number.

It is an amenable number.

830752 is an abundant number, since it is smaller than the sum of its proper divisors (931484).

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

830752 is a wasteful number, since it uses less digits than its factorization.

830752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 830752 is about 911.4559780922. The cubic root of 830752 is about 94.0063372821.

It can be divided in two parts, 8 and 30752, that multiplied together give a square (246016 = 4962).

The spelling of 830752 in words is "eight hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1997 3994 7988 15976 25961 31952 51922 63904 103844 207688 415376 830752