Search a number
-
+
1024990848 = 2734729487
BaseRepresentation
bin111101000110000…
…001111010000000
32122102200221010000
4331012001322000
54044344201343
6245413040000
734254164340
oct7506017200
92572627100
101024990848
11486642882
12247326000
1313447a17b
149a1b4d20
155eebaed3
hex3d181e80

1024990848 has 320 divisors, whose sum is σ = 3613737600. Its totient is φ = 282175488.

The previous prime is 1024990847. The next prime is 1024990849. The reversal of 1024990848 is 8480994201.

It is an interprime number because it is at equal distance from previous prime (1024990847) and next prime (1024990849).

It is not an unprimeable number, because it can be changed into a prime (1024990847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2104461 + ... + 2104947.

It is an arithmetic number, because the mean of its divisors is an integer number (11292930).

Almost surely, 21024990848 is an apocalyptic number.

1024990848 is a gapful number since it is divisible by the number (18) 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 1024990848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806868800).

1024990848 is an abundant number, since it is smaller than the sum of its proper divisors (2588746752).

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

1024990848 is an equidigital number, since it uses as much as digits as its factorization.

1024990848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1024990848 is about 32015.4782566183. The cubic root of 1024990848 is about 1008.2618367417.

The spelling of 1024990848 in words is "one billion, twenty-four million, nine hundred ninety thousand, eight hundred forty-eight".