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427255760 = 2457976701
BaseRepresentation
bin11001011101110…
…110011111010000
31002202221211201102
4121131312133100
51333334141020
6110221323532
713405420421
oct3135663720
91082854642
10427255760
111aa1a1638
12bb1065a8
136a695479
1440a5b648
1527799475
hex197767d0

427255760 has 40 divisors (see below), whose sum is σ = 994764456. Its totient is φ = 170662400.

The previous prime is 427255739. The next prime is 427255769. The reversal of 427255760 is 67552724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29333056 + 397922704 = 5416^2 + 19948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427255769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60410 + ... + 67110.

Almost surely, 2427255760 is an apocalyptic number.

427255760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427255760 is an abundant number, since it is smaller than the sum of its proper divisors (567508696).

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

427255760 is a wasteful number, since it uses less digits than its factorization.

427255760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 427255760 is about 20670.1659403112. The cubic root of 427255760 is about 753.1751375516.

The spelling of 427255760 in words is "four hundred twenty-seven million, two hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 797 1594 3188 3985 6376 6701 7970 12752 13402 15940 26804 31880 33505 53608 63760 67010 107216 134020 268040 536080 5340697 10681394 21362788 26703485 42725576 53406970 85451152 106813940 213627880 427255760