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84749296 = 2423412137
BaseRepresentation
bin1010000110100…
…10101111110000
312220110201011211
411003102233300
5133143434141
612224245504
72046233332
oct503225760
9186421154
1084749296
1143925445
1224470894
1314734018
14b381452
157690d81
hex50d2bf0

84749296 has 60 divisors (see below), whose sum is σ = 176903856. Its totient is φ = 39255040.

The previous prime is 84749293. The next prime is 84749297. The reversal of 84749296 is 69294748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84749293) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 618540 + ... + 618676.

Almost surely, 284749296 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 84749296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88451928).

84749296 is an abundant number, since it is smaller than the sum of its proper divisors (92154560).

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

84749296 is a wasteful number, since it uses less digits than its factorization.

84749296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 203 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 84749296 is about 9205.9380836501. The cubic root of 84749296 is about 439.2502659226.

The spelling of 84749296 in words is "eighty-four million, seven hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 41 46 82 92 137 164 184 274 328 368 548 656 943 1096 1681 1886 2192 3151 3362 3772 5617 6302 6724 7544 11234 12604 13448 15088 22468 25208 26896 38663 44936 50416 77326 89872 129191 154652 230297 258382 309304 460594 516764 618608 921188 1033528 1842376 2067056 3684752 5296831 10593662 21187324 42374648 84749296