Search a number
-
+
2673086848 = 27313701
BaseRepresentation
bin1001111101010100…
…0001000110000000
320220021212212210121
42133111001012000
520433302234343
61121125310024
7123145602055
oct23725010600
96807785717
102673086848
111151984793
12627265314
13337a527c3
141b502902c
15109a1aaed
hex9f541180

2673086848 has 64 divisors (see below), whose sum is σ = 5510643840. Its totient is φ = 1291584000.

The previous prime is 2673086827. The next prime is 2673086849. The reversal of 2673086848 is 8486803762.

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

It is a junction number, because it is equal to n+sod(n) for n = 2673086795 and 2673086804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673086849) 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, 3812898 + ... + 3813598.

It is an arithmetic number, because the mean of its divisors is an integer number (86103810).

Almost surely, 22673086848 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 2673086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755321920).

2673086848 is an abundant number, since it is smaller than the sum of its proper divisors (2837556992).

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

2673086848 is an frugal number, since it uses more digits than its factorization.

2673086848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The square root of 2673086848 is about 51701.9037173681. The cubic root of 2673086848 is about 1387.8345330632.

The spelling of 2673086848 in words is "two billion, six hundred seventy-three million, eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 701 961 992 1402 1922 1984 2804 3844 3968 5608 7688 11216 15376 21731 22432 29791 30752 43462 44864 59582 61504 86924 89728 119164 123008 173848 238328 347696 476656 673661 695392 953312 1347322 1390784 1906624 2694644 2781568 3813248 5389288 10778576 20883491 21557152 41766982 43114304 83533964 86228608 167067928 334135856 668271712 1336543424 2673086848