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428604840 = 233254012969
BaseRepresentation
bin11001100010111…
…111110110101000
31002212111101022100
4121202333312220
51334210323330
6110310253400
713423036536
oct3142776650
91085441270
10428604840
111aaa33184
12bb657260
136aa48541
1440ccd156
1527964060
hex198bfda8

428604840 has 96 divisors (see below), whose sum is σ = 1396909800. Its totient is φ = 113971200.

The previous prime is 428604821. The next prime is 428604859. The reversal of 428604840 is 48406824.

428604840 is a `hidden beast` number, since 4 + 2 + 8 + 604 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (428604821) and next prime (428604859).

It can be written as a sum of positive squares in 4 ways, for example, as 339075396 + 89529444 = 18414^2 + 9462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 428604795 and 428604804.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 142876 + ... + 145844.

Almost surely, 2428604840 is an apocalyptic number.

428604840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428604840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698454900).

428604840 is an abundant number, since it is smaller than the sum of its proper divisors (968304960).

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

428604840 is a wasteful number, since it uses less digits than its factorization.

428604840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 428604840 is about 20702.7737272086. The cubic root of 428604840 is about 753.9670332009.

The spelling of 428604840 in words is "four hundred twenty-eight million, six hundred four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 401 802 1203 1604 2005 2406 2969 3208 3609 4010 4812 5938 6015 7218 8020 8907 9624 11876 12030 14436 14845 16040 17814 18045 23752 24060 26721 28872 29690 35628 36090 44535 48120 53442 59380 71256 72180 89070 106884 118760 133605 144360 178140 213768 267210 356280 534420 1068840 1190569 2381138 3571707 4762276 5952845 7143414 9524552 10715121 11905690 14286828 17858535 21430242 23811380 28573656 35717070 42860484 47622760 53575605 71434140 85720968 107151210 142868280 214302420 428604840