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84838336 = 2611373257
BaseRepresentation
bin1010000111010…
…00011111000000
312220122020022121
411003220133000
5133204311321
612230214024
72050054042
oct503503700
9186566277
1084838336
1143986330
12244b4314
13147656cb
14b3a5a92
1576ac441
hex50e87c0

84838336 has 56 divisors (see below), whose sum is σ = 188677296. Its totient is φ = 37509120.

The previous prime is 84838333. The next prime is 84838339. The reversal of 84838336 is 63383848.

It is an interprime number because it is at equal distance from previous prime (84838333) and next prime (84838339).

It is a junction number, because it is equal to n+sod(n) for n = 84838292 and 84838301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84838331) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24420 + ... + 27676.

Almost surely, 284838336 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 84838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94338648).

84838336 is an abundant number, since it is smaller than the sum of its proper divisors (103838960).

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

84838336 is a wasteful number, since it uses less digits than its factorization.

84838336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3307 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 84838336 is about 9210.7728231674. The cubic root of 84838336 is about 439.4040416530.

The spelling of 84838336 in words is "eighty-four million, eight hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 148 176 296 352 407 592 704 814 1184 1628 2368 3256 3257 6512 6514 13024 13028 26048 26056 35827 52112 71654 104224 120509 143308 208448 241018 286616 482036 573232 964072 1146464 1325599 1928144 2292928 2651198 3856288 5302396 7712576 10604792 21209584 42419168 84838336