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814083048 = 2336139589
BaseRepresentation
bin110000100001011…
…110101111101000
32002201211201000000
4300201132233220
53131401124143
6212440343000
726113406652
oct6041365750
92081751000
10814083048
1138858a709
121a8774a60
13cc87405c
147a1936d2
154b709bd3
hex3085ebe8

814083048 has 56 divisors (see below), whose sum is σ = 2288578050. Its totient is φ = 271359072.

The previous prime is 814083047. The next prime is 814083059. The reversal of 814083048 is 840380418.

814083048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 556865604 + 257217444 = 23598^2 + 16038^2 .

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 (814083047) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 63963 + ... + 75626.

Almost surely, 2814083048 is an apocalyptic number.

It is an amenable number.

814083048 is an abundant number, since it is smaller than the sum of its proper divisors (1474495002).

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

814083048 is a wasteful number, since it uses less digits than its factorization.

814083048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139613 (or 139594 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 814083048 is about 28532.1406137009. The cubic root of 814083048 is about 933.7334211021.

The spelling of 814083048 in words is "eight hundred fourteen million, eighty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 139589 279178 418767 558356 837534 1116712 1256301 1675068 2512602 3350136 3768903 5025204 7537806 10050408 11306709 15075612 22613418 30151224 33920127 45226836 67840254 90453672 101760381 135680508 203520762 271361016 407041524 814083048