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84684544 = 287243157
BaseRepresentation
bin1010000110000…
…10111100000000
312220100102100121
411003002330000
5133134401134
612223030024
72045543500
oct503027400
9186312317
1084684544
114389082a
122443b314
13147106c9
14b365a00
15767bab4
hex50c2f00

84684544 has 108 divisors (see below), whose sum is σ = 202490904. Its totient is φ = 35223552.

The previous prime is 84684541. The next prime is 84684569. The reversal of 84684544 is 44548648.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 84684544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84684541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539314 + ... + 539470.

Almost surely, 284684544 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 84684544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101245452).

84684544 is an abundant number, since it is smaller than the sum of its proper divisors (117806360).

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

84684544 is a wasteful number, since it uses less digits than its factorization.

84684544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its digits is 491520, while the sum is 43.

The square root of 84684544 is about 9202.4205511376. The cubic root of 84684544 is about 439.1383689066.

The spelling of 84684544 in words is "eighty-four million, six hundred eighty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 128 157 172 196 224 256 301 314 344 392 448 602 628 688 784 896 1099 1204 1256 1376 1568 1792 2107 2198 2408 2512 2752 3136 4214 4396 4816 5024 5504 6272 6751 7693 8428 8792 9632 10048 11008 12544 13502 15386 16856 17584 19264 20096 27004 30772 33712 35168 38528 40192 47257 54008 61544 67424 70336 77056 94514 108016 123088 134848 140672 189028 216032 246176 269696 281344 330799 378056 432064 492352 539392 661598 756112 864128 984704 1323196 1512224 1728256 1969408 2646392 3024448 5292784 6048896 10585568 12097792 21171136 42342272 84684544