Search a number
-
+
4562056849 = 7296492
BaseRepresentation
bin1000011111110101…
…10111011010010001
3102202221022111111111
410033322313122101
533320341304344
62032404413321
7221023562200
oct41772673221
912687274444
104562056849
111a31186919
12a739a7241
135791c3a2c
14313c61237
151ba79a834
hex10feb7691

4562056849 has 9 divisors (see below), whose sum is σ = 5307432507. Its totient is φ = 3909929184.

The previous prime is 4562056781. The next prime is 4562056871. The reversal of 4562056849 is 9486502654.

The square root of 4562056849 is 67543.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 486511249 + 4075545600 = 22057^2 + 63840^2 .

It is not a de Polignac number, because 4562056849 - 27 = 4562056721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4562056549) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 467977 + ... + 477625.

It is an arithmetic number, because the mean of its divisors is an integer number (589714723).

Almost surely, 24562056849 is an apocalyptic number.

4562056849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4562056849 is the 67543-rd square number.

4562056849 is the 33772-nd centered octagonal number.

It is an amenable number.

4562056849 is a deficient number, since it is larger than the sum of its proper divisors (745375658).

4562056849 is an frugal number, since it uses more digits than its factorization.

4562056849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19312 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The cubic root of 4562056849 is about 1658.5181590104.

Multiplying 4562056849 by its sum of digits (49), we get a square (223540785601 = 4728012).

4562056849 divided by its sum of digits (49) gives a square (93103201 = 96492).

The spelling of 4562056849 in words is "four billion, five hundred sixty-two million, fifty-six thousand, eight hundred forty-nine".

Divisors: 1 7 49 9649 67543 472801 93103201 651722407 4562056849