Search a number
-
+
2950441968 = 2431071573659
BaseRepresentation
bin1010111111011100…
…0010101111110000
321121121202222111110
42233313002233300
522020303120333
61204434113320
7133054225425
oct25767025760
97547688443
102950441968
1112844a17a1
126a411b840
13380352366
141ddbc5d4c
15124055063
hexafdc2bf0

2950441968 has 80 divisors (see below), whose sum is σ = 7744325760. Its totient is φ = 967819008.

The previous prime is 2950441931. The next prime is 2950441979. The reversal of 2950441968 is 8691440592.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804523 + ... + 808181.

It is an arithmetic number, because the mean of its divisors is an integer number (96804072).

Almost surely, 22950441968 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 2950441968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872162880).

2950441968 is an abundant number, since it is smaller than the sum of its proper divisors (4793883792).

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

2950441968 is a wasteful number, since it uses less digits than its factorization.

2950441968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2950441968 is about 54317.9709488490. The cubic root of 2950441968 is about 1434.2637618341.

The spelling of 2950441968 in words is "two billion, nine hundred fifty million, four hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 157 214 314 321 428 471 628 642 856 942 1256 1284 1712 1884 2512 2568 3659 3768 5136 7318 7536 10977 14636 16799 21954 29272 33598 43908 50397 58544 67196 87816 100794 134392 175632 201588 268784 391513 403176 574463 783026 806352 1148926 1174539 1566052 1723389 2297852 2349078 3132104 3446778 4595704 4698156 6264208 6893556 9191408 9396312 13787112 18792624 27574224 61467541 122935082 184402623 245870164 368805246 491740328 737610492 983480656 1475220984 2950441968