Search a number
-
+
1018958848 = 2102934313
BaseRepresentation
bin111100101111000…
…001010000000000
32122000100110202121
4330233001100000
54041323140343
6245035454024
734152002335
oct7457012000
92560313677
101018958848
114831a2956
122452b7314
1313314773b
149948498c
155e6c8aed
hex3cbc1400

1018958848 has 44 divisors (see below), whose sum is σ = 2107222740. Its totient is φ = 491896832.

The previous prime is 1018958791. The next prime is 1018958849. The reversal of 1018958848 is 8488598101.

It can be written as a sum of positive squares in 2 ways, for example, as 418120704 + 600838144 = 20448^2 + 24512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1018958795 and 1018958804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018958849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12540 + ... + 46852.

Almost surely, 21018958848 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 1018958848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053611370).

1018958848 is an abundant number, since it is smaller than the sum of its proper divisors (1088263892).

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

1018958848 is an equidigital number, since it uses as much as digits as its factorization.

1018958848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34362 (or 34344 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 52.

The square root of 1018958848 is about 31921.1348169203. The cubic root of 1018958848 is about 1006.2800938597.

The spelling of 1018958848 in words is "one billion, eighteen million, nine hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 3712 7424 14848 29696 34313 68626 137252 274504 549008 995077 1098016 1990154 2196032 3980308 4392064 7960616 8784128 15921232 17568256 31842464 35136512 63684928 127369856 254739712 509479424 1018958848