Search a number
-
+
1382982048 = 25327686003
BaseRepresentation
bin101001001101110…
…1010000110100000
310120101022202201100
41102123222012200
510313020411143
6345122034400
746162103430
oct12233520640
93511282640
101382982048
1164a725978
123271a8a00
131906a0796
14d19622c0
15816326d3
hex526ea1a0

1382982048 has 72 divisors (see below), whose sum is σ = 4494698208. Its totient is φ = 395137152.

The previous prime is 1382982047. The next prime is 1382982077. The reversal of 1382982048 is 8402892831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1382981994 and 1382982012.

It is not an unprimeable number, because it can be changed into a prime (1382982047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340986 + ... + 345017.

It is an arithmetic number, because the mean of its divisors is an integer number (62426364).

Almost surely, 21382982048 is an apocalyptic number.

1382982048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1382982048 is an abundant number, since it is smaller than the sum of its proper divisors (3111716160).

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

1382982048 is a wasteful number, since it uses less digits than its factorization.

1382982048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686026 (or 686015 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1382982048 is about 37188.4665992025. The cubic root of 1382982048 is about 1114.1376423136.

The spelling of 1382982048 in words is "one billion, three hundred eighty-two million, nine hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 686003 1372006 2058009 2744012 4116018 4802021 5488024 6174027 8232036 9604042 10976048 12348054 14406063 16464072 19208084 21952096 24696108 28812126 32928144 38416168 43218189 49392216 57624252 65856288 76832336 86436378 98784432 115248504 153664672 172872756 197568864 230497008 345745512 460994016 691491024 1382982048