Search a number
-
+
49446945920 = 275172144893
BaseRepresentation
bin101110000011010001…
…001000010010000000
311201122001011010001102
4232003101020102000
51302231404232140
634414323353532
73400225051121
oct560321102200
9151561133042
1049446945920
1119a7456a369
1296bb8228a8
1348803003a8
1425710c8048
15144604be15
hexb83448480

49446945920 has 64 divisors (see below), whose sum is σ = 118280426040. Its totient is φ = 19766845440.

The previous prime is 49446945883. The next prime is 49446945923. The reversal of 49446945920 is 2954964494.

It can be written as a sum of positive squares in 4 ways, for example, as 44446758976 + 5000186944 = 210824^2 + 70712^2 .

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

It is not an unprimeable number, because it can be changed into a prime (49446945923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1078994 + ... + 1123886.

Almost surely, 249446945920 is an apocalyptic number.

49446945920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49446945920 is an abundant number, since it is smaller than the sum of its proper divisors (68833480120).

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

49446945920 is a wasteful number, since it uses less digits than its factorization.

49446945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46633 (or 46621 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 56.

The spelling of 49446945920 in words is "forty-nine billion, four hundred forty-six million, nine hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1721 3442 6884 8605 13768 17210 27536 34420 44893 55072 68840 89786 110144 137680 179572 220288 224465 275360 359144 448930 550720 718288 897860 1101440 1436576 1795720 2873152 3591440 5746304 7182880 14365760 28731520 77260853 154521706 309043412 386304265 618086824 772608530 1236173648 1545217060 2472347296 3090434120 4944694592 6180868240 9889389184 12361736480 24723472960 49446945920