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84675888 = 243311103173
BaseRepresentation
bin1010000110000…
…00110100110000
312220022222111000
411003000310300
5133134112023
612222522000
72045506323
oct503006460
9186288430
1084675888
1143885280
1224436300
131470979b
14b3627ba
157679243
hex50c0d30

84675888 has 160 divisors (see below), whose sum is σ = 269268480. Its totient is φ = 25263360.

The previous prime is 84675791. The next prime is 84675889. The reversal of 84675888 is 88857648.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (84675889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489370 + ... + 489542.

It is an arithmetic number, because the mean of its divisors is an integer number (1682928).

Almost surely, 284675888 is an apocalyptic number.

84675888 is a gapful number since it is divisible by the number (88) 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 84675888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134634240).

84675888 is an abundant number, since it is smaller than the sum of its proper divisors (184592592).

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

84675888 is a wasteful number, since it uses less digits than its factorization.

84675888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 84675888 is about 9201.9502280767. The cubic root of 84675888 is about 439.1234062736.

The spelling of 84675888 in words is "eighty-four million, six hundred seventy-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 103 108 132 144 173 176 198 206 216 264 297 309 346 396 412 432 519 528 594 618 692 792 824 927 1038 1133 1188 1236 1384 1557 1584 1648 1854 1903 2076 2266 2376 2472 2768 2781 3114 3399 3708 3806 4152 4532 4671 4752 4944 5562 5709 6228 6798 7416 7612 8304 9064 9342 10197 11124 11418 12456 13596 14832 15224 17127 17819 18128 18684 20394 22248 22836 24912 27192 30448 30591 34254 35638 37368 40788 44496 45672 51381 53457 54384 61182 68508 71276 74736 81576 91344 102762 106914 122364 137016 142552 160371 163152 196009 205524 213828 244728 274032 285104 320742 392018 411048 427656 481113 489456 588027 641484 784036 822096 855312 962226 1176054 1282968 1568072 1764081 1924452 2352108 2565936 3136144 3528162 3848904 4704216 5292243 7056324 7697808 9408432 10584486 14112648 21168972 28225296 42337944 84675888