Search a number
-
+
48958642756 = 2231723492
BaseRepresentation
bin101101100110001010…
…011001101001000100
311200101000022202001001
4231212022121221010
51300231403032011
634254041343044
73352145411542
oct554612315104
9150330282031
1048958642756
1119843971a31
1295a4197a84
1348030b22ca
1425262d8d92
1514182447c1
hexb66299a44

48958642756 has 27 divisors (see below), whose sum is σ = 86195730999. Its totient is φ = 24332179488.

The previous prime is 48958642753. The next prime is 48958642793. The reversal of 48958642756 is 65724685984.

The square root of 48958642756 is 221266.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4359960900 + 44598681856 = 66030^2 + 211184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48958642753) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140282470 + ... + 140282818.

Almost surely, 248958642756 is an apocalyptic number.

48958642756 is the 221266-th square number.

It is an amenable number.

48958642756 is a deficient number, since it is larger than the sum of its proper divisors (37237088243).

48958642756 is an frugal number, since it uses more digits than its factorization.

48958642756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 668 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 64.

Multiplying 48958642756 by its sum of digits (64), we get a square (3133353136384 = 17701282).

The spelling of 48958642756 in words is "forty-eight billion, nine hundred fifty-eight million, six hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 4 317 349 634 698 1268 1396 100489 110633 121801 200978 221266 243602 401956 442532 487204 35070661 38610917 70141322 77221834 140282644 154443668 12239660689 24479321378 48958642756