Search a number
-
+
4699314048 = 2731113229227
BaseRepresentation
bin1000110000001100…
…11101011110000000
3110010111120212222110
410120012131132000
534111011022143
62054150335320
7224311340022
oct43006353600
913114525873
104699314048
111aa1705220
12ab195a540
1359b780800
14328190012
151c785e533
hex11819d780

4699314048 has 384 divisors, whose sum is σ = 15321052800. Its totient is φ = 1263575040.

The previous prime is 4699314047. The next prime is 4699314049. The reversal of 4699314048 is 8404139964.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4699314047) and next prime (4699314049).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4699313988 and 4699314006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4699314043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20701711 + ... + 20701937.

It is an arithmetic number, because the mean of its divisors is an integer number (39898575).

Almost surely, 24699314048 is an apocalyptic number.

4699314048 is a gapful number since it is divisible by the number (48) 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 4699314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660526400).

4699314048 is an abundant number, since it is smaller than the sum of its proper divisors (10621738752).

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

4699314048 is a wasteful number, since it uses less digits than its factorization.

4699314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 4699314048 is about 68551.5430023278. The cubic root of 4699314048 is about 1674.9871890904.

The spelling of 4699314048 in words is "four billion, six hundred ninety-nine million, three hundred fourteen thousand, forty-eight".