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427077000 = 23325376779
BaseRepresentation
bin11001011101001…
…010110110001000
31002202121202111200
4121131022312020
51333312431000
6110213424200
713404044310
oct3135126610
91082552450
10427077000
111aa08a2a9
12bb03b060
136a631cac
1440a12440
1527761500
hex1974ad88

427077000 has 192 divisors, whose sum is σ = 1649980800. Its totient is φ = 97603200.

The previous prime is 427076981. The next prime is 427077023. The reversal of 427077000 is 770724.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59611 + ... + 66389.

It is an arithmetic number, because the mean of its divisors is an integer number (8593650).

Almost surely, 2427077000 is an apocalyptic number.

427077000 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 427077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824990400).

427077000 is an abundant number, since it is smaller than the sum of its proper divisors (1222903800).

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

427077000 is a wasteful number, since it uses less digits than its factorization.

427077000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6813 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 427077000 is about 20665.8413813713. The cubic root of 427077000 is about 753.0700823117.

The spelling of 427077000 in words is "four hundred twenty-seven million, seventy-seven thousand".