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420750648 = 233210157859
BaseRepresentation
bin11001000101000…
…010010100111000
31002022201100101100
4121011002110320
51330203010043
6105430051400
713266215163
oct3105022470
91068640340
10420750648
111a655920a
12b8aa9b60
13692285a6
143dc46ada
1526e11cd3
hex19142538

420750648 has 48 divisors (see below), whose sum is σ = 1150835400. Its totient is φ = 138859200.

The previous prime is 420750607. The next prime is 420750667. The reversal of 420750648 is 846057024.

420750648 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 5 + 0 + 648 = 666.

It is a super-2 number, since 2×4207506482 = 354062215584839808, which contains 22 as substring.

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

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 21658 + ... + 36201.

Almost surely, 2420750648 is an apocalyptic number.

It is an amenable number.

420750648 is an abundant number, since it is smaller than the sum of its proper divisors (730084752).

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

420750648 is a wasteful number, since it uses less digits than its factorization.

420750648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57972 (or 57965 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 420750648 is about 20512.2072922443. The cubic root of 420750648 is about 749.3331245453. Note that the first 3 decimals are identical.

The spelling of 420750648 in words is "four hundred twenty million, seven hundred fifty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 57859 115718 173577 231436 347154 462872 520731 694308 1041462 1388616 2082924 4165848 5843759 11687518 17531277 23375036 35062554 46750072 52593831 70125108 105187662 140250216 210375324 420750648