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429386445 = 32530892
BaseRepresentation
bin11001100101111…
…110101011001101
31002220222002110200
4121211332223031
51334410331240
6110335124113
713432503345
oct3145765315
91086862420
10429386445
11200417434
12bb973639
136ac60227
1441053d25
1527a6a930
hex1997eacd

429386445 has 18 divisors (see below), whose sum is σ = 744510858. Its totient is φ = 228931968.

The previous prime is 429386437. The next prime is 429386467. The reversal of 429386445 is 544683924.

429386445 is a `hidden beast` number, since 42 + 93 + 86 + 445 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 228795876 + 200590569 = 15126^2 + 14163^2 .

It is not a de Polignac number, because 429386445 - 23 = 429386437 is a prime.

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 429386445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137461 + ... + 140549.

Almost surely, 2429386445 is an apocalyptic number.

429386445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429386445 is a deficient number, since it is larger than the sum of its proper divisors (315124413).

429386445 is an frugal number, since it uses more digits than its factorization.

429386445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189 (or 3097 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 429386445 is about 20721.6419474906. The cubic root of 429386445 is about 754.4250670286.

Multiplying 429386445 by its sum of digits (45), we get a square (19322390025 = 1390052).

429386445 divided by its sum of digits (45) gives a square (9541921 = 30892).

The spelling of 429386445 in words is "four hundred twenty-nine million, three hundred eighty-six thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 3089 9267 15445 27801 46335 139005 9541921 28625763 47709605 85877289 143128815 429386445