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2948329472 = 2121165437
BaseRepresentation
bin1010111110111011…
…1111000000000000
321121110210122200212
42233232333000000
522014233020342
61204320533252
7133030246514
oct25756770000
97543718625
102948329472
111283289630
126a3481228
1337ca9296a
141dd7d6144
15123c89182
hexafbbf000

2948329472 has 52 divisors (see below), whose sum is σ = 6432031896. Its totient is φ = 1340129280.

The previous prime is 2948329471. The next prime is 2948329487. The reversal of 2948329472 is 2749238492.

2948329472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2948329472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948329471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12338 + ... + 77774.

Almost surely, 22948329472 is an apocalyptic number.

2948329472 is a gapful number since it is divisible by the number (22) 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 2948329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216015948).

2948329472 is an abundant number, since it is smaller than the sum of its proper divisors (3483702424).

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

2948329472 is an equidigital number, since it uses as much as digits as its factorization.

2948329472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65472 (or 65450 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 2948329472 is about 54298.5218215008. The cubic root of 2948329472 is about 1433.9213724673.

The spelling of 2948329472 in words is "two billion, nine hundred forty-eight million, three hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 11264 22528 45056 65437 130874 261748 523496 719807 1046992 1439614 2093984 2879228 4187968 5758456 8375936 11516912 16751872 23033824 33503744 46067648 67007488 92135296 134014976 184270592 268029952 368541184 737082368 1474164736 2948329472