Search a number
-
+
2831267488 = 25722755681
BaseRepresentation
bin1010100011000001…
…1011011010100000
321022022112021211211
42220300123122200
521244301024423
61144535515504
7130106243110
oct25060333240
97268467754
102831267488
1112231a4195
12670228b94
1336175710a
141cc043040
1511886410d
hexa8c1b6a0

2831267488 has 48 divisors (see below), whose sum is σ = 6398529984. Its totient is φ = 1208033280.

The previous prime is 2831267459. The next prime is 2831267503. The reversal of 2831267488 is 8847621382.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23008 + ... + 78688.

It is an arithmetic number, because the mean of its divisors is an integer number (133302708).

Almost surely, 22831267488 is an apocalyptic number.

2831267488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831267488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199264992).

2831267488 is an abundant number, since it is smaller than the sum of its proper divisors (3567262496).

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

2831267488 is a wasteful number, since it uses less digits than its factorization.

2831267488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55925 (or 55917 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The square root of 2831267488 is about 53209.6559658113. The cubic root of 2831267488 is about 1414.6867978732.

The spelling of 2831267488 in words is "two billion, eight hundred thirty-one million, two hundred sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 227 454 908 1589 1816 3178 3632 6356 7264 12712 25424 50848 55681 111362 222724 389767 445448 779534 890896 1559068 1781792 3118136 6236272 12472544 12639587 25279174 50558348 88477109 101116696 176954218 202233392 353908436 404466784 707816872 1415633744 2831267488