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84869856 = 2534137239
BaseRepresentation
bin1010000111100…
…00001011100000
312220200211120000
411003300023200
5133211313411
612231020000
72050244661
oct503601340
9186624500
1084869856
11439a7a85
122450a600
1314776b66
14b3b3368
1576b6956
hex50f02e0

84869856 has 120 divisors (see below), whose sum is σ = 252473760. Its totient is φ = 27965952.

The previous prime is 84869833. The next prime is 84869857. The reversal of 84869856 is 65896848.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84869857) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354985 + ... + 355223.

It is an arithmetic number, because the mean of its divisors is an integer number (2103948).

Almost surely, 284869856 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 84869856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126236880).

84869856 is an abundant number, since it is smaller than the sum of its proper divisors (167603904).

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

84869856 is a wasteful number, since it uses less digits than its factorization.

84869856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 84869856 is about 9212.4837041918. The cubic root of 84869856 is about 439.4584521989.

The spelling of 84869856 in words is "eighty-four million, eight hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 137 144 162 216 239 274 288 324 411 432 478 548 648 717 822 864 956 1096 1233 1296 1434 1644 1912 2151 2192 2466 2592 2868 3288 3699 3824 4302 4384 4932 5736 6453 6576 7398 7648 8604 9864 11097 11472 12906 13152 14796 17208 19359 19728 22194 22944 25812 29592 32743 34416 38718 39456 44388 51624 59184 65486 68832 77436 88776 98229 103248 118368 130972 154872 177552 196458 206496 261944 294687 309744 355104 392916 523888 589374 619488 785832 884061 1047776 1178748 1571664 1768122 2357496 2652183 3143328 3536244 4714992 5304366 7072488 9429984 10608732 14144976 21217464 28289952 42434928 84869856