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420517488 = 2438760781
BaseRepresentation
bin11001000100001…
…001011001110000
31002022021111112210
4121010021121300
51330123024423
6105421052120
713264224336
oct3104113160
91068244483
10420517488
111a640a016
12b89b7040
1369176421
143dbc5b56
1526db7b93
hex19109670

420517488 has 20 divisors (see below), whose sum is σ = 1086336968. Its totient is φ = 140172480.

The previous prime is 420517483. The next prime is 420517549. The reversal of 420517488 is 884715024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420517483) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4380343 + ... + 4380438.

Almost surely, 2420517488 is an apocalyptic number.

420517488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420517488 is an abundant number, since it is smaller than the sum of its proper divisors (665819480).

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

420517488 is a wasteful number, since it uses less digits than its factorization.

420517488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760792 (or 8760786 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 420517488 is about 20506.5230597486. The cubic root of 420517488 is about 749.1946840422.

The spelling of 420517488 in words is "four hundred twenty million, five hundred seventeen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 8760781 17521562 26282343 35043124 52564686 70086248 105129372 140172496 210258744 420517488