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84241536 = 273431509
BaseRepresentation
bin1010000010101…
…10110010000000
312212111220122220
411001112302000
5133031212121
612205331040
72042020101
oct501266200
9185456586
1084241536
1143608a05
1224266a80
13145b6b82
14b28c3a8
1575e06c6
hex5056c80

84241536 has 64 divisors (see below), whose sum is σ = 224726400. Its totient is φ = 27960320.

The previous prime is 84241529. The next prime is 84241559. The reversal of 84241536 is 63514248.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 84241497 and 84241506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165250 + ... + 165758.

It is an arithmetic number, because the mean of its divisors is an integer number (3511350).

Almost surely, 284241536 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 84241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112363200).

84241536 is an abundant number, since it is smaller than the sum of its proper divisors (140484864).

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

84241536 is a wasteful number, since it uses less digits than its factorization.

84241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 945 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 84241536 is about 9178.3188003032. The cubic root of 84241536 is about 438.3712787762.

The spelling of 84241536 in words is "eighty-four million, two hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 431 509 862 1018 1293 1527 1724 2036 2586 3054 3448 4072 5172 6108 6896 8144 10344 12216 13792 16288 20688 24432 27584 32576 41376 48864 55168 65152 82752 97728 165504 195456 219379 438758 658137 877516 1316274 1755032 2632548 3510064 5265096 7020128 10530192 14040256 21060384 28080512 42120768 84241536