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84410112 = 283131839
BaseRepresentation
bin1010000011111…
…11111100000000
312212211110220110
411001333330000
5133102110422
612213111320
72043321423
oct501777400
9185743813
1084410112
1143713626
1224328540
1314645817
14b2d39ba
15762560c
hex507ff00

84410112 has 72 divisors (see below), whose sum is σ = 226638720. Its totient is φ = 27888640.

The previous prime is 84410107. The next prime is 84410129. The reversal of 84410112 is 21101448.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100189 + ... + 101027.

It is an arithmetic number, because the mean of its divisors is an integer number (3147760).

Almost surely, 284410112 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 84410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

84410112 is an abundant number, since it is smaller than the sum of its proper divisors (142228608).

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

84410112 is a wasteful number, since it uses less digits than its factorization.

84410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 84410112 is about 9187.4975918364. The cubic root of 84410112 is about 438.6634926564.

The spelling of 84410112 in words is "eighty-four million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 524 768 786 839 1048 1572 1678 2096 2517 3144 3356 4192 5034 6288 6712 8384 10068 12576 13424 16768 20136 25152 26848 33536 40272 50304 53696 80544 100608 107392 109909 161088 214784 219818 322176 329727 439636 644352 659454 879272 1318908 1758544 2637816 3517088 5275632 7034176 10551264 14068352 21102528 28136704 42205056 84410112