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428744736 = 25327212671
BaseRepresentation
bin11001100011100…
…010000000100000
31002212202111012200
4121203202000200
51334224312421
6110313253200
713424161440
oct3143420040
91085674180
10428744736
112000192a2
12bb704200
136aa97114
1440d28120
1527990726
hex198e2020

428744736 has 72 divisors (see below), whose sum is σ = 1393426944. Its totient is φ = 122497920.

The previous prime is 428744711. The next prime is 428744737. The reversal of 428744736 is 637447824.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 428744691 and 428744700.

It is not an unprimeable number, because it can be changed into a prime (428744737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104320 + ... + 108351.

It is an arithmetic number, because the mean of its divisors is an integer number (19353152).

Almost surely, 2428744736 is an apocalyptic number.

It is an amenable number.

428744736 is an abundant number, since it is smaller than the sum of its proper divisors (964682208).

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

428744736 is a wasteful number, since it uses less digits than its factorization.

428744736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212694 (or 212683 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 428744736 is about 20706.1521292586. The cubic root of 428744736 is about 754.0490555273.

The spelling of 428744736 in words is "four hundred twenty-eight million, seven hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 212671 425342 638013 850684 1276026 1488697 1701368 1914039 2552052 2977394 3402736 3828078 4466091 5104104 5954788 6805472 7656156 8932182 10208208 11909576 13398273 15312312 17864364 20416416 23819152 26796546 30624624 35728728 47638304 53593092 61249248 71457456 107186184 142914912 214372368 428744736