Search a number
-
+
3082674048 = 27312763211
BaseRepresentation
bin1011011110111101…
…1101111110000000
321221211121001210220
42313233131332000
522303131032143
61225520223040
7136251203616
oct26757357600
97854531726
103082674048
1113420a8703
1272046aa80
133a186caac
142135a76b6
15130974d83
hexb7bddf80

3082674048 has 64 divisors (see below), whose sum is σ = 8252958720. Its totient is φ = 1019450880.

The previous prime is 3082674047. The next prime is 3082674071. The reversal of 3082674048 is 8404762803.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3082674047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17163 + ... + 80373.

It is an arithmetic number, because the mean of its divisors is an integer number (128952480).

Almost surely, 23082674048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126479360).

3082674048 is an abundant number, since it is smaller than the sum of its proper divisors (5170284672).

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

3082674048 is a wasteful number, since it uses less digits than its factorization.

3082674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63355 (or 63343 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3082674048 is about 55521.8339754731. The cubic root of 3082674048 is about 1455.3782113358.

The spelling of 3082674048 in words is "three billion, eighty-two million, six hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 48768 63211 126422 189633 252844 379266 505688 758532 1011376 1517064 2022752 3034128 4045504 6068256 8027797 8091008 12136512 16055594 24083391 24273024 32111188 48166782 64222376 96333564 128444752 192667128 256889504 385334256 513779008 770668512 1027558016 1541337024 3082674048