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1084228992 = 273271117719
BaseRepresentation
bin100000010100000…
…0000010110000000
32210120011112120100
41000220000112000
54210030311432
6255330442400
735603536320
oct10050002600
92716145510
101084228992
11507023320
12263133400
1314381b422
14a3dd5280
15652bd07c
hex40a00580

1084228992 has 384 divisors, whose sum is σ = 4124390400. Its totient is φ = 264683520.

The previous prime is 1084228991. The next prime is 1084229021. The reversal of 1084228992 is 2998224801.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084228991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1507609 + ... + 1508327.

It is an arithmetic number, because the mean of its divisors is an integer number (10740600).

Almost surely, 21084228992 is an apocalyptic number.

1084228992 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 1084228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062195200).

1084228992 is an abundant number, since it is smaller than the sum of its proper divisors (3040161408).

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

1084228992 is a wasteful number, since it uses less digits than its factorization.

1084228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 759 counting only the distinct ones).

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

The square root of 1084228992 is about 32927.6326510121. The cubic root of 1084228992 is about 1027.3229858276.

The spelling of 1084228992 in words is "one billion, eighty-four million, two hundred twenty-eight thousand, nine hundred ninety-two".