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428802460 = 22588324281
BaseRepresentation
bin11001100011110…
…000000110011100
31002212212102101121
4121203300012130
51334233134320
6110314420324
713424521642
oct3143600634
91085772347
10428802460
112000586a9
12bb7316a4
136aab7488
1440d41192
15279a28aa
hex198f019c

428802460 has 24 divisors (see below), whose sum is σ = 901542096. Its totient is φ = 171319680.

The previous prime is 428802457. The next prime is 428802461. The reversal of 428802460 is 64208824.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428802461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5520 + ... + 29800.

It is an arithmetic number, because the mean of its divisors is an integer number (37564254).

Almost surely, 2428802460 is an apocalyptic number.

It is an amenable number.

428802460 is an abundant number, since it is smaller than the sum of its proper divisors (472739636).

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

428802460 is a wasteful number, since it uses less digits than its factorization.

428802460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25173 (or 25171 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 428802460 is about 20707.5459675936. The cubic root of 428802460 is about 754.0828944457.

The spelling of 428802460 in words is "four hundred twenty-eight million, eight hundred two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 883 1766 3532 4415 8830 17660 24281 48562 97124 121405 242810 485620 21440123 42880246 85760492 107200615 214401230 428802460