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2050560768 = 28323294003
BaseRepresentation
bin111101000111001…
…0001001100000000
312021220111021120010
41322032101030000
513144420421033
6535250344520
7101546323164
oct17216211400
95256437503
102050560768
11962540723
1249288b140
13268a9aa89
1415649aca4
15c004d863
hex7a391300

2050560768 has 144 divisors (see below), whose sum is σ = 5892606720. Its totient is φ = 631099392.

The previous prime is 2050560763. The next prime is 2050560781. The reversal of 2050560768 is 8670650502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2050560763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510255 + ... + 514257.

It is an arithmetic number, because the mean of its divisors is an integer number (40920880).

Almost surely, 22050560768 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 2050560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946303360).

2050560768 is an abundant number, since it is smaller than the sum of its proper divisors (3842045952).

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

2050560768 is a wasteful number, since it uses less digits than its factorization.

2050560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2050560768 is about 45283.1179138539. The cubic root of 2050560768 is about 1270.4499135471.

The spelling of 2050560768 in words is "two billion, fifty million, five hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 256 276 348 368 384 464 552 667 696 736 768 928 1104 1334 1392 1472 1856 2001 2208 2668 2784 2944 3712 4002 4003 4416 5336 5568 5888 7424 8004 8006 8832 10672 11136 12009 16008 16012 17664 21344 22272 24018 32016 32024 42688 48036 64032 64048 85376 92069 96072 116087 128064 128096 170752 184138 192144 232174 256128 256192 276207 348261 368276 384288 464348 512256 512384 552414 696522 736552 768576 928696 1024768 1104828 1393044 1473104 1537152 1857392 2209656 2670001 2786088 2946208 3074304 3714784 4419312 5340002 5572176 5892416 7429568 8010003 8838624 10680004 11144352 11784832 14859136 16020006 17677248 21360008 22288704 23569664 29718272 32040012 35354496 42720016 44577408 64080024 70708992 85440032 89154816 128160048 170880064 256320096 341760128 512640192 683520256 1025280384 2050560768