Search a number
-
+
78203628 = 22322172323
BaseRepresentation
bin1001010100101…
…00101011101100
312110011011012200
410222110223230
5130010004003
611432101500
71636501626
oct452245354
9173134180
1078203628
11401645a8
1222234890
1313281849
14a559c16
156ceb6a3
hex4a94aec

78203628 has 18 divisors (see below), whose sum is σ = 197681484. Its totient is φ = 26067864.

The previous prime is 78203623. The next prime is 78203701. The reversal of 78203628 is 82630287.

It is a happy number.

78203628 is a `hidden beast` number, since 7 + 8 + 20 + 3 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×782036282 = 12231614864724768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2172323 = 78203628 / (7 + 8 + 2 + 0 + 3 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 78203592 and 78203601.

It is not an unprimeable number, because it can be changed into a prime (78203623) 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, 1086126 + ... + 1086197.

Almost surely, 278203628 is an apocalyptic number.

It is an amenable number.

78203628 is an abundant number, since it is smaller than the sum of its proper divisors (119477856).

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

78203628 is a wasteful number, since it uses less digits than its factorization.

78203628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172333 (or 2172328 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78203628 is about 8843.2815176268. The cubic root of 78203628 is about 427.6373540378.

The spelling of 78203628 in words is "seventy-eight million, two hundred three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2172323 4344646 6516969 8689292 13033938 19550907 26067876 39101814 78203628