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1048989312 = 27337131331
BaseRepresentation
bin111110100001100…
…100111010000000
32201002212011211000
4332201210322000
54122020124222
6252031252000
734665155610
oct7641447200
92632764730
101048989312
11499144218
1225337a000
13139430547
149d460a40
156215b9ac
hex3e864e80

1048989312 has 256 divisors, whose sum is σ = 3576038400. Its totient is φ = 296524800.

The previous prime is 1048989311. The next prime is 1048989323. The reversal of 1048989312 is 2139898401.

It is a super-2 number, since 2×10489893122 = 2200757153380466688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1048989311) 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 31 ways as a sum of consecutive naturals, for example, 3168987 + ... + 3169317.

It is an arithmetic number, because the mean of its divisors is an integer number (13968900).

Almost surely, 21048989312 is an apocalyptic number.

1048989312 is a gapful number since it is divisible by the number (12) 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 1048989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788019200).

1048989312 is an abundant number, since it is smaller than the sum of its proper divisors (2527049088).

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

1048989312 is a wasteful number, since it uses less digits than its factorization.

1048989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1048989312 is about 32388.1044829734. The cubic root of 1048989312 is about 1016.0701379650.

The spelling of 1048989312 in words is "one billion, forty-eight million, nine hundred eighty-nine thousand, three hundred twelve".