Search a number
-
+
427469805 = 355750261
BaseRepresentation
bin11001011110101…
…010101111101101
31002210100201100000
4121132222233231
51333413013210
6110230054513
713410301440
oct3136525755
91083321300
10427469805
111aa328434
12bb1aa439
136a73ba19
1440ab5657
15277dcac0
hex197aabed

427469805 has 48 divisors (see below), whose sum is σ = 878177664. Its totient is φ = 195410880.

The previous prime is 427469797. The next prime is 427469807. The reversal of 427469805 is 508964724.

It is a happy number.

It is not a de Polignac number, because 427469805 - 23 = 427469797 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427469807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16626 + ... + 33635.

It is an arithmetic number, because the mean of its divisors is an integer number (18295368).

Almost surely, 2427469805 is an apocalyptic number.

427469805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427469805 is an abundant number, since it is smaller than the sum of its proper divisors (450707859).

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

427469805 is an equidigital number, since it uses as much as digits as its factorization.

427469805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50288 (or 50276 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 427469805 is about 20675.3429233955. The cubic root of 427469805 is about 753.3008908462.

The spelling of 427469805 in words is "four hundred twenty-seven million, four hundred sixty-nine thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1215 1701 2835 8505 50261 150783 251305 351827 452349 753915 1055481 1357047 1759135 2261745 3166443 4071141 5277405 6785235 9499329 12213423 15832215 20355705 28497987 47496645 61067115 85493961 142489935 427469805