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428985045 = 335127131191
BaseRepresentation
bin11001100100011…
…100101011010101
31002220012200212000
4121210130223111
51334310010140
6110322345513
713426212156
oct3144345325
91086180760
10428985045
112001728a5
12bb7bb299
136ab4c608
1440d8b92d
15279dba30
hex1991cad5

428985045 has 64 divisors (see below), whose sum is σ = 778567680. Its totient is φ = 224078400.

The previous prime is 428985031. The next prime is 428985079. The reversal of 428985045 is 540589824.

It is not a de Polignac number, because 428985045 - 26 = 428984981 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2245900 + ... + 2246090.

It is an arithmetic number, because the mean of its divisors is an integer number (12165120).

Almost surely, 2428985045 is an apocalyptic number.

428985045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428985045 is a deficient number, since it is larger than the sum of its proper divisors (349582635).

428985045 is a wasteful number, since it uses less digits than its factorization.

428985045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 428985045 is about 20711.9541569597. The cubic root of 428985045 is about 754.1899092919.

The spelling of 428985045 in words is "four hundred twenty-eight million, nine hundred eighty-five thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 127 131 135 191 381 393 573 635 655 955 1143 1179 1719 1905 1965 2865 3429 3537 5157 5715 5895 8595 16637 17145 17685 24257 25021 25785 49911 72771 75063 83185 121285 125105 149733 218313 225189 249555 363855 375315 449199 654939 675567 748665 1091565 1125945 2245995 3177667 3274695 3377835 9533001 15888335 28599003 47665005 85797009 142995015 428985045