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84264480 = 25325163359
BaseRepresentation
bin1010000010111…
…00011000100000
312212120002010200
411001130120200
5133032430410
612210025200
72042144016
oct501343040
9185502120
1084264480
1143624173
1224278200
13145c4451
14b2968b6
1575e73c0
hex505c620

84264480 has 144 divisors (see below), whose sum is σ = 290122560. Its totient is φ = 22270464.

The previous prime is 84264473. The next prime is 84264497. The reversal of 84264480 is 8446248.

84264480 is a `hidden beast` number, since 8 + 4 + 2 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234541 + ... + 234899.

It is an arithmetic number, because the mean of its divisors is an integer number (2014740).

Almost surely, 284264480 is an apocalyptic number.

84264480 is a gapful number since it is divisible by the number (80) 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 84264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061280).

84264480 is an abundant number, since it is smaller than the sum of its proper divisors (205858080).

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

84264480 is a wasteful number, since it uses less digits than its factorization.

84264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84264480 is about 9179.5686173153. The cubic root of 84264480 is about 438.4110733879.

It can be divided in two parts, 842644 and 80, that added together give a square (842724 = 9182).

The spelling of 84264480 in words is "eighty-four million, two hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 240 288 326 359 360 480 489 652 718 720 815 978 1077 1304 1436 1440 1467 1630 1795 1956 2154 2445 2608 2872 2934 3231 3260 3590 3912 4308 4890 5216 5385 5744 5868 6462 6520 7180 7335 7824 8616 9780 10770 11488 11736 12924 13040 14360 14670 15648 16155 17232 19560 21540 23472 25848 26080 28720 29340 32310 34464 39120 43080 46944 51696 57440 58517 58680 64620 78240 86160 103392 117034 117360 129240 172320 175551 234068 234720 258480 292585 351102 468136 516960 526653 585170 702204 877755 936272 1053306 1170340 1404408 1755510 1872544 2106612 2340680 2633265 2808816 3511020 4213224 4681360 5266530 5617632 7022040 8426448 9362720 10533060 14044080 16852896 21066120 28088160 42132240 84264480