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828631044 = 223253434293
BaseRepresentation
bin110001011000111…
…110100000000100
32010202012211002200
4301120332200010
53144112143134
6214120234500
726351150643
oct6130764004
92122184080
10828631044
1139581684a
121b160ba30
13102898a37
147c09d35a
154cb30499
hex3163e804

828631044 has 36 divisors (see below), whose sum is σ = 2134120716. Its totient is φ = 270998208.

The previous prime is 828631043. The next prime is 828631061. The reversal of 828631044 is 440136828.

It can be written as a sum of positive squares in 2 ways, for example, as 322920900 + 505710144 = 17970^2 + 22488^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (828631043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215239 + ... + 219054.

It is an arithmetic number, because the mean of its divisors is an integer number (59281131).

Almost surely, 2828631044 is an apocalyptic number.

It is an amenable number.

828631044 is an abundant number, since it is smaller than the sum of its proper divisors (1305489672).

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

828631044 is a wasteful number, since it uses less digits than its factorization.

828631044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434356 (or 434351 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 828631044 is about 28785.9521989459. The cubic root of 828631044 is about 939.2626796939.

The spelling of 828631044 in words is "eight hundred twenty-eight million, six hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 434293 868586 1302879 1737172 2605758 3908637 5211516 7817274 15634548 23017529 46035058 69052587 92070116 138105174 207157761 276210348 414315522 828631044