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84523712 = 2671323631
BaseRepresentation
bin1010000100110…
…11101011000000
312220001020201212
411002123223000
5133114224322
612215345252
72044303550
oct502335300
9186036655
1084523712
1143790a09
1224382228
1314685440
14b323160
1576490e2
hex509bac0

84523712 has 112 divisors (see below), whose sum is σ = 215749632. Its totient is φ = 31933440.

The previous prime is 84523709. The next prime is 84523721. The reversal of 84523712 is 21732548.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 133637 + ... + 134267.

It is an arithmetic number, because the mean of its divisors is an integer number (1926336).

Almost surely, 284523712 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 84523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107874816).

84523712 is an abundant number, since it is smaller than the sum of its proper divisors (131225920).

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

84523712 is a wasteful number, since it uses less digits than its factorization.

84523712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 84523712 is about 9193.6778277249. The cubic root of 84523712 is about 438.8601903956.

The spelling of 84523712 in words is "eighty-four million, five hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 161 182 184 208 224 299 322 364 368 416 448 598 631 644 728 736 832 1196 1262 1288 1456 1472 2093 2392 2524 2576 2912 4186 4417 4784 5048 5152 5824 8203 8372 8834 9568 10096 10304 14513 16406 16744 17668 19136 20192 29026 32812 33488 35336 40384 57421 58052 65624 66976 70672 101591 114842 116104 131248 133952 141344 188669 203182 229684 232208 262496 282688 377338 406364 459368 464416 524992 754676 812728 918736 928832 1320683 1509352 1625456 1837472 2641366 3018704 3250912 3674944 5282732 6037408 6501824 10565464 12074816 21130928 42261856 84523712