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472358385 = 3457116427
BaseRepresentation
bin11100001001111…
…001110111110001
31012220211021220000
4130021321313301
51431410432020
6114512140213
714463660102
oct3411716761
91186737800
10472358385
112226a7934
12112237669
1376b27705
1446a3c3a9
152b708090
hex1c279df1

472358385 has 40 divisors (see below), whose sum is σ = 858724416. Its totient is φ = 248361120.

The previous prime is 472358363. The next prime is 472358387. The reversal of 472358385 is 583853274.

472358385 is a `hidden beast` number, since 47 + 23 + 583 + 8 + 5 = 666.

It is not a de Polignac number, because 472358385 - 214 = 472342001 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 472358385.

It is not an unprimeable number, because it can be changed into a prime (472358387) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 20542 + ... + 36968.

Almost surely, 2472358385 is an apocalyptic number.

472358385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472358385 is a deficient number, since it is larger than the sum of its proper divisors (386366031).

472358385 is a wasteful number, since it uses less digits than its factorization.

472358385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16515 (or 16506 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 472358385 is about 21733.8074206983. The cubic root of 472358385 is about 778.7962942694.

The spelling of 472358385 in words is "four hundred seventy-two million, three hundred fifty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 71 81 135 213 355 405 639 1065 1917 3195 5751 9585 16427 28755 49281 82135 147843 246405 443529 739215 1166317 1330587 2217645 3498951 5831585 6652935 10496853 17494755 31490559 52484265 94471677 157452795 472358385