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1484991616 = 27174211621
BaseRepresentation
bin101100010000011…
…0010110010000000
310211111021101112111
41120200302302000
511020124212431
6403204305104
751541135423
oct13040626200
93744241474
101484991616
116a226a1a9
123553a2194
131a8868b84
141013179ba
158a5827b1
hex58832c80

1484991616 has 64 divisors (see below), whose sum is σ = 3141781560. Its totient is φ = 696729600.

The previous prime is 1484991589. The next prime is 1484991643. The reversal of 1484991616 is 6161994841.

It is an interprime number because it is at equal distance from previous prime (1484991589) and next prime (1484991643).

It can be written as a sum of positive squares in 4 ways, for example, as 1190526016 + 294465600 = 34504^2 + 17160^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1484991616.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 915286 + ... + 916906.

Almost surely, 21484991616 is an apocalyptic number.

1484991616 is a gapful number since it is divisible by the number (16) 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 1484991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570890780).

1484991616 is an abundant number, since it is smaller than the sum of its proper divisors (1656789944).

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

1484991616 is a wasteful number, since it uses less digits than its factorization.

1484991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2061 counting only the distinct ones).

The product of its digits is 373248, while the sum is 49.

The square root of 1484991616 is about 38535.5889535894. The cubic root of 1484991616 is about 1140.8835911568.

The spelling of 1484991616 in words is "one billion, four hundred eighty-four million, nine hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 421 544 842 1088 1621 1684 2176 3242 3368 6484 6736 7157 12968 13472 14314 25936 26944 27557 28628 51872 53888 55114 57256 103744 110228 114512 207488 220456 229024 440912 458048 682441 881824 916096 1364882 1763648 2729764 3527296 5459528 10919056 11601497 21838112 23202994 43676224 46405988 87352448 92811976 185623952 371247904 742495808 1484991616