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1484683248 = 243311377283
BaseRepresentation
bin101100001111110…
…0111011111110000
310211110200201112110
41120133213133300
511020034330443
6403153525320
751535412406
oct13037473760
93743621473
101484683248
116a2079554
12355273840
131a878b6c9
14101277476
158a521233
hex587e77f0

1484683248 has 80 divisors (see below), whose sum is σ = 3988601856. Its totient is φ = 475368960.

The previous prime is 1484683229. The next prime is 1484683259. The reversal of 1484683248 is 8423864841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1484683197 and 1484683206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200215 + ... + 207497.

Almost surely, 21484683248 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 1484683248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994300928).

1484683248 is an abundant number, since it is smaller than the sum of its proper divisors (2503918608).

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

1484683248 is a wasteful number, since it uses less digits than its factorization.

1484683248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462 (or 7456 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 1484683248 is about 38531.5876651871. The cubic root of 1484683248 is about 1140.8046151001.

The spelling of 1484683248 in words is "one billion, four hundred eighty-four million, six hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 137 186 248 274 372 411 496 548 744 822 1096 1488 1644 2192 3288 4247 6576 7283 8494 12741 14566 16988 21849 25482 29132 33976 43698 50964 58264 67952 87396 101928 116528 174792 203856 225773 349584 451546 677319 903092 997771 1354638 1806184 1995542 2709276 2993313 3612368 3991084 5418552 5986626 7982168 10837104 11973252 15964336 23946504 30930901 47893008 61861802 92792703 123723604 185585406 247447208 371170812 494894416 742341624 1484683248