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1048881024 = 27324153419
BaseRepresentation
bin111110100001001…
…010011110000000
32201002122200021100
4332201022132000
54122003143044
6252025054400
734664225112
oct7641123600
92632580240
101048881024
1149907a924
12253327400
131393c3179
149d4333b2
1562139869
hex3e84a780

1048881024 has 192 divisors, whose sum is σ = 3157736400. Its totient is φ = 333864960.

The previous prime is 1048881017. The next prime is 1048881049. The reversal of 1048881024 is 4201888401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10488810242 = 2200302805014577152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1048881024.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2503087 + ... + 2503505.

Almost surely, 21048881024 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 1048881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578868200).

1048881024 is an abundant number, since it is smaller than the sum of its proper divisors (2108855376).

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

1048881024 is a wasteful number, since it uses less digits than its factorization.

1048881024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1048881024 is about 32386.4327149503. The cubic root of 1048881024 is about 1016.0351735193.

The spelling of 1048881024 in words is "one billion, forty-eight million, eight hundred eighty-one thousand, twenty-four".