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84400001 = 721722449
BaseRepresentation
bin1010000011111…
…01011110000001
312212210222000222
411001331132001
5133101300001
612212552425
72043250100
oct501753601
9185728028
1084400001
1143706a74
1224322715
131464103a
14b2d0037
15762261b
hex507d781

84400001 has 6 divisors (see below), whose sum is σ = 98179650. Its totient is φ = 72342816.

The previous prime is 84399989. The next prime is 84400003. The reversal of 84400001 is 10000448.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 50481025 + 33918976 = 7105^2 + 5824^2 .

It is not a de Polignac number, because 84400001 - 226 = 17291137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84400003) 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 5 ways as a sum of consecutive naturals, for example, 861176 + ... + 861273.

It is an arithmetic number, because the mean of its divisors is an integer number (16363275).

Almost surely, 284400001 is an apocalyptic number.

It is an amenable number.

84400001 is a deficient number, since it is larger than the sum of its proper divisors (13779649).

84400001 is a wasteful number, since it uses less digits than its factorization.

84400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722463 (or 1722456 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 84400001 is about 9186.9473167097. The cubic root of 84400001 is about 438.6459769680.

Adding to 84400001 its reverse (10000448), we get a palindrome (94400449).

The spelling of 84400001 in words is "eighty-four million, four hundred thousand, one".

Divisors: 1 7 49 1722449 12057143 84400001