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84243456 = 2103311277
BaseRepresentation
bin1010000010101…
…11010000000000
312212112000022000
411001113100000
5133031242311
612205344000
72042025513
oct501272000
9185460260
1084243456
114360a3a0
1224268000
13145b79cb
14b28cd7a
1575e1056
hex5057400

84243456 has 176 divisors, whose sum is σ = 273151680. Its totient is φ = 25436160.

The previous prime is 84243451. The next prime is 84243469. The reversal of 84243456 is 65434248.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84243456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84243451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303990 + ... + 304266.

Almost surely, 284243456 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 84243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136575840).

84243456 is an abundant number, since it is smaller than the sum of its proper divisors (188908224).

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

84243456 is a wasteful number, since it uses less digits than its factorization.

84243456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 84243456 is about 9178.4233940258. The cubic root of 84243456 is about 438.3746091463.

The spelling of 84243456 in words is "eighty-four million, two hundred forty-three thousand, four hundred fifty-six".