Search a number
-
+
2950442368 = 27295571427
BaseRepresentation
bin1010111111011100…
…0010110110000000
321121121210000001021
42233313002312000
522020303123433
61204434115224
7133054226536
oct25767026600
97547700037
102950442368
1112844a2025
126a411bb14
133803525b3
141ddbc6156
1512405522d
hexafdc2d80

2950442368 has 64 divisors (see below), whose sum is σ = 6095703600. Its totient is φ = 1420797952.

The previous prime is 2950442359. The next prime is 2950442389. The reversal of 2950442368 is 8632440592.

2950442368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×29504423682 = 17410220333778894848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2066871 + ... + 2068297.

Almost surely, 22950442368 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 2950442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047851800).

2950442368 is an abundant number, since it is smaller than the sum of its proper divisors (3145261232).

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

2950442368 is a wasteful number, since it uses less digits than its factorization.

2950442368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 2950442368 is about 54317.9746308715. The cubic root of 2950442368 is about 1434.2638266498.

The spelling of 2950442368 in words is "two billion, nine hundred fifty million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 557 928 1114 1427 1856 2228 2854 3712 4456 5708 8912 11416 16153 17824 22832 32306 35648 41383 45664 64612 71296 82766 91328 129224 165532 182656 258448 331064 516896 662128 794839 1033792 1324256 1589678 2067584 2648512 3179356 5297024 6358712 12717424 23050331 25434848 46100662 50869696 92201324 101739392 184402648 368805296 737610592 1475221184 2950442368