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2049955768 = 237212741177
BaseRepresentation
bin111101000101111…
…1101011110111000
312021212100112122201
41322023331132320
513144242041033
6535225355544
7101541223300
oct17213753670
95255315581
102049955768
11962168123
12492638bb4
132689185a3
14156380600
15bee7e47d
hex7a2fd7b8

2049955768 has 48 divisors (see below), whose sum is σ = 4506520320. Its totient is φ = 871613568.

The previous prime is 2049955757. The next prime is 2049955769. The reversal of 2049955768 is 8675599402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049955769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29196 + ... + 70372.

It is an arithmetic number, because the mean of its divisors is an integer number (93885840).

Almost surely, 22049955768 is an apocalyptic number.

2049955768 is a gapful number since it is divisible by the number (28) 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 2049955768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253260160).

2049955768 is an abundant number, since it is smaller than the sum of its proper divisors (2456564552).

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

2049955768 is a wasteful number, since it uses less digits than its factorization.

2049955768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41324 (or 41313 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The square root of 2049955768 is about 45276.4372273261. The cubic root of 2049955768 is about 1270.3249562161.

It can be divided in two parts, 20499 and 55768, that added together give a palindrome (76267).

The spelling of 2049955768 in words is "two billion, forty-nine million, nine hundred fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 254 392 508 889 1016 1778 3556 6223 7112 12446 24892 41177 49784 82354 164708 288239 329416 576478 1152956 2017673 2305912 4035346 5229479 8070692 10458958 16141384 20917916 36606353 41835832 73212706 146425412 256244471 292850824 512488942 1024977884 2049955768