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478014228 = 223217781069
BaseRepresentation
bin11100011111011…
…110101100010100
31020022110122020200
4130133132230110
51434332423403
6115233300500
714563024326
oct3437365424
91208418220
10478014228
1122591018a
12114104730
1378057b73
14476b1616
152be73ca3
hex1c7deb14

478014228 has 36 divisors (see below), whose sum is σ = 1279392660. Its totient is φ = 149965056.

The previous prime is 478014167. The next prime is 478014233. The reversal of 478014228 is 822410874.

It can be written as a sum of positive squares in 2 ways, for example, as 380952324 + 97061904 = 19518^2 + 9852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 478014192 and 478014201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389923 + ... + 391146.

It is an arithmetic number, because the mean of its divisors is an integer number (35538685).

Almost surely, 2478014228 is an apocalyptic number.

It is an amenable number.

478014228 is an abundant number, since it is smaller than the sum of its proper divisors (801378432).

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

478014228 is a wasteful number, since it uses less digits than its factorization.

478014228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781096 (or 781091 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 478014228 is about 21863.5364934404. The cubic root of 478014228 is about 781.8923088294.

The spelling of 478014228 in words is "four hundred seventy-eight million, fourteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 781069 1562138 2343207 3124276 4686414 7029621 9372828 13278173 14059242 26556346 28118484 39834519 53112692 79669038 119503557 159338076 239007114 478014228