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78403 = 1337163
BaseRepresentation
bin10011001001000011
310222112211
4103021003
510002103
61402551
7444403
oct231103
9128484
1078403
11539a6
1239457
13298c0
1420803
151836d
hex13243

78403 has 8 divisors (see below), whose sum is σ = 87248. Its totient is φ = 69984.

The previous prime is 78401. The next prime is 78427. The reversal of 78403 is 30487.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(78403) divides (78403-1)7.

It is a cyclic number.

78403 is an astonishing number since 78403 = 78 + ... + 403.

It is not a de Polignac number, because 78403 - 21 = 78401 is a prime.

It is a super-2 number, since 2×784032 = 12294060818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (10906).

278403 is an apocalyptic number.

78403 is a deficient number, since it is larger than the sum of its proper divisors (8845).

78403 is a wasteful number, since it uses less digits than its factorization.

78403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 78403 is about 280.0053570916. The cubic root of 78403 is about 42.8000451276.

The spelling of 78403 in words is "seventy-eight thousand, four hundred three".

Divisors: 1 13 37 163 481 2119 6031 78403