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428588955 = 33517432101
BaseRepresentation
bin11001100010111…
…011111110011011
31002212110120112000
4121202323332123
51334204321310
6110310052043
713422642324
oct3142737633
91085416460
10428588955
111aaa22253
12bb64a023
136aa41242
1440cc744b
152795e4c0
hex198bbf9b

428588955 has 96 divisors (see below), whose sum is σ = 834131520. Its totient is φ = 208051200.

The previous prime is 428588933. The next prime is 428588959. The reversal of 428588955 is 559885824.

It is a happy number.

428588955 is a `hidden beast` number, since 4 + 2 + 8 + 588 + 9 + 55 = 666.

It is not a de Polignac number, because 428588955 - 26 = 428588891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428588959) 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 95 ways as a sum of consecutive naturals, for example, 4243405 + ... + 4243505.

It is an arithmetic number, because the mean of its divisors is an integer number (8688870).

Almost surely, 2428588955 is an apocalyptic number.

428588955 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428588955 is a deficient number, since it is larger than the sum of its proper divisors (405542565).

428588955 is a wasteful number, since it uses less digits than its factorization.

428588955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 169 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

The square root of 428588955 is about 20702.3900794087. The cubic root of 428588955 is about 753.9577185493.

The spelling of 428588955 in words is "four hundred twenty-eight million, five hundred eighty-eight thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 43 45 51 85 101 129 135 153 215 255 303 387 459 505 645 731 765 909 1161 1515 1717 1849 1935 2193 2295 2727 3655 4343 4545 5151 5547 5805 6579 8585 9245 10965 13029 13635 15453 16641 19737 21715 25755 27735 31433 32895 39087 46359 49923 65145 73831 77265 83205 94299 98685 117261 157165 186749 195435 221493 231795 249615 282897 369155 471495 560247 586305 664479 848691 933745 1107465 1414485 1680741 1993437 2801235 3174733 3322395 4243455 5042223 8403705 9524199 9967185 15873665 25211115 28572597 47620995 85717791 142862985 428588955