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84350756 = 22721014261
BaseRepresentation
bin1010000011100…
…01011100100100
312212201110111002
411001301130210
5133043211011
612211532432
72042653400
oct501613444
9185643432
1084350756
1143682a76
12242ba118
13146247b9
14b2ba100
157612c3b
hex5071724

84350756 has 36 divisors (see below), whose sum is σ = 173454876. Its totient is φ = 35784000.

The previous prime is 84350743. The next prime is 84350767. The reversal of 84350756 is 65705348.

It can be written as a sum of positive squares in 2 ways, for example, as 81288256 + 3062500 = 9016^2 + 1750^2 .

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 11 ways as a sum of consecutive naturals, for example, 17666 + ... + 21926.

It is an arithmetic number, because the mean of its divisors is an integer number (4818191).

Almost surely, 284350756 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 84350756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86727438).

84350756 is an abundant number, since it is smaller than the sum of its proper divisors (89104120).

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

84350756 is a wasteful number, since it uses less digits than its factorization.

84350756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 84350756 is about 9184.2667644184. The cubic root of 84350756 is about 438.5606478864.

The spelling of 84350756 in words is "eighty-four million, three hundred fifty thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 1414 2828 4261 4949 8522 9898 17044 19796 29827 59654 119308 208789 417578 430361 835156 860722 1721444 3012527 6025054 12050108 21087689 42175378 84350756