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78091201 = 3137103661
BaseRepresentation
bin1001010011110…
…01001111000001
312102221102222201
410221321033001
5124442404301
611425433201
71635523066
oct451711701
9172842881
1078091201
1140098091
122219b801
1313242616
14a52ac6d
156cc8201
hex4a793c1

78091201 has 16 divisors (see below), whose sum is σ = 83719168. Its totient is φ = 72705600.

The previous prime is 78091199. The next prime is 78091213. The reversal of 78091201 is 10219087.

It is a 3-Lehmer number, since φ(78091201) divides (78091201-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 78091201 - 21 = 78091199 is a prime.

It is a deceptive number, since it divides R78091200.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78091201.

It is not an unprimeable number, because it can be changed into a prime (78091231) 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 15 ways as a sum of consecutive naturals, for example, 117811 + ... + 118471.

It is an arithmetic number, because the mean of its divisors is an integer number (5232448).

It is a Poulet number, since it divides 278091200-1.

Almost surely, 278091201 is an apocalyptic number.

It is an amenable number.

78091201 is a deficient number, since it is larger than the sum of its proper divisors (5627967).

78091201 is a wasteful number, since it uses less digits than its factorization.

78091201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 78091201 is about 8836.9225978278. The cubic root of 78091201 is about 427.4323292679.

The spelling of 78091201 in words is "seventy-eight million, ninety-one thousand, two hundred one".

Divisors: 1 31 37 103 661 1147 3193 3811 20491 24457 68083 118141 758167 2110573 2519071 78091201