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84483648 = 263443379
BaseRepresentation
bin1010000100100…
…01111001000000
312212222012210000
411002101321000
5133111434043
612214440000
72044046004
oct502217100
9185865700
1084483648
11437638a7
1224363000
1314670132
14b312704
15763c2d3
hex5091e40

84483648 has 140 divisors (see below), whose sum is σ = 256936240. Its totient is φ = 27433728.

The previous prime is 84483631. The next prime is 84483661. The reversal of 84483648 is 84638448.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222723 + ... + 223101.

Almost surely, 284483648 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 84483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128468120).

84483648 is an abundant number, since it is smaller than the sum of its proper divisors (172452592).

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

84483648 is a wasteful number, since it uses less digits than its factorization.

84483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 84483648 is about 9191.4986808463. The cubic root of 84483648 is about 438.7908399416.

The spelling of 84483648 in words is "eighty-four million, four hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 258 288 324 344 379 387 432 516 576 648 688 758 774 864 1032 1137 1161 1296 1376 1516 1548 1728 2064 2274 2322 2592 2752 3032 3096 3411 3483 4128 4548 4644 5184 6064 6192 6822 6966 8256 9096 9288 10233 12128 12384 13644 13932 16297 18192 18576 20466 24256 24768 27288 27864 30699 32594 36384 37152 40932 48891 54576 55728 61398 65188 72768 74304 81864 97782 109152 111456 122796 130376 146673 163728 195564 218304 222912 245592 260752 293346 327456 391128 440019 491184 521504 586692 654912 782256 880038 982368 1043008 1173384 1320057 1564512 1760076 1964736 2346768 2640114 3129024 3520152 4693536 5280228 7040304 9387072 10560456 14080608 21120912 28161216 42241824 84483648