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420875056 = 24743281311
BaseRepresentation
bin11001000101100…
…000101100110000
31002022221200001001
4121011200230300
51330221000211
6105432451344
713300243660
oct3105405460
91068850031
10420875056
111a6633728
12b8b49b54
13692700c4
143dc7a1a0
1526e38ac1
hex19160b30

420875056 has 80 divisors (see below), whose sum is σ = 960081408. Its totient is φ = 174988800.

The previous prime is 420875047. The next prime is 420875071. The reversal of 420875056 is 650578024.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353141 + ... + 1353451.

Almost surely, 2420875056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420875056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480040704).

420875056 is an abundant number, since it is smaller than the sum of its proper divisors (539206352).

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

420875056 is a wasteful number, since it uses less digits than its factorization.

420875056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 420875056 is about 20515.2396037677. The cubic root of 420875056 is about 749.4069718063.

The spelling of 420875056 in words is "four hundred twenty million, eight hundred seventy-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 281 301 311 344 562 602 622 688 1124 1204 1244 1967 2177 2248 2408 2488 3934 4354 4496 4816 4976 7868 8708 12083 13373 15736 17416 24166 26746 31472 34832 48332 53492 84581 87391 93611 96664 106984 169162 174782 187222 193328 213968 338324 349564 374444 611737 676648 699128 748888 1223474 1353296 1398256 1497776 2446948 3757813 4893896 7515626 9787792 15031252 26304691 30062504 52609382 60125008 105218764 210437528 420875056