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1484288080 = 245112576563
BaseRepresentation
bin101100001111000…
…0111000001010000
310211102221122110121
41120132013001100
511014434204310
6403141240024
751532145332
oct13036070120
93742848417
101484288080
116a1929670
12355103014
131a8680892
141011b3452
158a4940da
hex58787050

1484288080 has 80 divisors (see below), whose sum is σ = 3779918784. Its totient is φ = 537559040.

The previous prime is 1484288077. The next prime is 1484288081. The reversal of 1484288080 is 808824841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14842880802 = 4406222208860172800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1484288081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222879 + ... + 229441.

Almost surely, 21484288080 is an apocalyptic number.

1484288080 is a gapful number since it is divisible by the number (10) 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 1484288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889959392).

1484288080 is an abundant number, since it is smaller than the sum of its proper divisors (2295630704).

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

1484288080 is a wasteful number, since it uses less digits than its factorization.

1484288080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 6838 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 43.

The square root of 1484288080 is about 38526.4594791683. The cubic root of 1484288080 is about 1140.7033927281.

The spelling of 1484288080 in words is "one billion, four hundred eighty-four million, two hundred eighty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 257 440 514 880 1028 1285 2056 2570 2827 4112 5140 5654 6563 10280 11308 13126 14135 20560 22616 26252 28270 32815 45232 52504 56540 65630 72193 105008 113080 131260 144386 226160 262520 288772 360965 525040 577544 721930 1155088 1443860 1686691 2887720 3373382 5775440 6746764 8433455 13493528 16866910 18553601 26987056 33733820 37107202 67467640 74214404 92768005 134935280 148428808 185536010 296857616 371072020 742144040 1484288080