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422427760 = 24519214627
BaseRepresentation
bin11001001011011…
…011110001110000
31002102212112221121
4121023123301300
51331120142020
6105530032024
713316401546
oct3113336160
91072775847
10422427760
111a74a4257
12b9578614
1369694a71
1440161d96
1527143baa
hex192dbc70

422427760 has 60 divisors (see below), whose sum is σ = 1036627848. Its totient is φ = 160066944.

The previous prime is 422427749. The next prime is 422427763. The reversal of 422427760 is 67724224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422427763) 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, 21567 + ... + 36193.

Almost surely, 2422427760 is an apocalyptic number.

422427760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518313924).

422427760 is an abundant number, since it is smaller than the sum of its proper divisors (614200088).

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

422427760 is a wasteful number, since it uses less digits than its factorization.

422427760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14678 (or 14653 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 422427760 is about 20553.0474626027. The cubic root of 422427760 is about 750.3274185235.

The spelling of 422427760 in words is "four hundred twenty-two million, four hundred twenty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 722 760 1444 1520 1805 2888 3610 5776 7220 14440 14627 28880 29254 58508 73135 117016 146270 234032 277913 292540 555826 585080 1111652 1170160 1389565 2223304 2779130 4446608 5280347 5558260 10560694 11116520 21121388 22233040 26401735 42242776 52803470 84485552 105606940 211213880 422427760