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428857240 = 23571531633
BaseRepresentation
bin11001100011111…
…101011110011000
31002212222012112111
4121203331132120
51334241412430
6110315522104
713425140440
oct3143753630
91085865474
10428857240
11200095879
12bb759334
136ab063a6
1440d57120
15279b3c2a
hex198fd798

428857240 has 32 divisors (see below), whose sum is σ = 1102776480. Its totient is φ = 147036672.

The previous prime is 428857223. The next prime is 428857243. The reversal of 428857240 is 42758824.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 428857193 and 428857202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428857243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765537 + ... + 766096.

It is an arithmetic number, because the mean of its divisors is an integer number (34461765).

Almost surely, 2428857240 is an apocalyptic number.

428857240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428857240 is an abundant number, since it is smaller than the sum of its proper divisors (673919240).

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

428857240 is a wasteful number, since it uses less digits than its factorization.

428857240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531651 (or 1531647 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 428857240 is about 20708.8686315791. The cubic root of 428857240 is about 754.1150047264.

The spelling of 428857240 in words is "four hundred twenty-eight million, eight hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1531633 3063266 6126532 7658165 10721431 12253064 15316330 21442862 30632660 42885724 53607155 61265320 85771448 107214310 214428620 428857240