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84855280 = 24523107431
BaseRepresentation
bin1010000111011…
…00100111110000
312220200002120011
411003230213300
5133210332110
612230424304
72050154326
oct503544760
9186602504
1084855280
1143998034
1224502094
1314770333
14b3abd16
1576b248a
hex50ec9f0

84855280 has 80 divisors (see below), whose sum is σ = 208272384. Its totient is φ = 32088320.

The previous prime is 84855271. The next prime is 84855283. The reversal of 84855280 is 8255848.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84855283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196665 + ... + 197095.

Almost surely, 284855280 is an apocalyptic number.

84855280 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 84855280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104136192).

84855280 is an abundant number, since it is smaller than the sum of its proper divisors (123417104).

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

84855280 is a wasteful number, since it uses less digits than its factorization.

84855280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 84855280 is about 9211.6925697724. The cubic root of 84855280 is about 439.4332924486.

The spelling of 84855280 in words is "eighty-four million, eight hundred fifty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 107 115 184 214 230 368 428 431 460 535 856 862 920 1070 1712 1724 1840 2140 2155 2461 3448 4280 4310 4922 6896 8560 8620 9844 9913 12305 17240 19688 19826 24610 34480 39376 39652 46117 49220 49565 79304 92234 98440 99130 158608 184468 196880 198260 230585 368936 396520 461170 737872 793040 922340 1060691 1844680 2121382 3689360 4242764 5303455 8485528 10606910 16971056 21213820 42427640 84855280