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84487648 = 25723331
BaseRepresentation
bin1010000100100…
…10110111100000
312212222102021011
411002102313200
5133112101043
612214510304
72044063450
oct502226740
9185872234
1084487648
1143766903
1224365394
1314671bbb
14b313d60
15763d59d
hex5092de0

84487648 has 96 divisors (see below), whose sum is σ = 205148160. Its totient is φ = 33517440.

The previous prime is 84487633. The next prime is 84487651. The reversal of 84487648 is 84678448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725393 + ... + 2725423.

It is an arithmetic number, because the mean of its divisors is an integer number (2136960).

Almost surely, 284487648 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 84487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102574080).

84487648 is an abundant number, since it is smaller than the sum of its proper divisors (120660512).

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

84487648 is an equidigital number, since it uses as much as digits as its factorization.

84487648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 63 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 49.

The square root of 84487648 is about 9191.7162706428. The cubic root of 84487648 is about 438.7977648937.

The spelling of 84487648 in words is "eighty-four million, four hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 92 112 124 161 184 217 224 248 322 368 434 496 529 644 713 736 868 992 1058 1288 1426 1736 2116 2576 2852 3472 3703 4232 4991 5152 5704 6944 7406 8464 9982 11408 12167 14812 16399 16928 19964 22816 24334 29624 32798 39928 48668 59248 65596 79856 85169 97336 114793 118496 131192 159712 170338 194672 229586 262384 340676 377177 389344 459172 524768 681352 754354 918344 1362704 1508708 1836688 2640239 2725408 3017416 3673376 5280478 6034832 10560956 12069664 21121912 42243824 84487648