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427255584 = 253719109307
BaseRepresentation
bin11001011101110…
…110011100100000
31002202221211110220
4121131312130200
51333334134314
6110221323040
713405420050
oct3135663440
91082854426
10427255584
111aa1a1498
12bb106480
136a695372
1440a5b560
15277993a9
hex19776720

427255584 has 192 divisors, whose sum is σ = 1366041600. Its totient is φ = 114213888.

The previous prime is 427255519. The next prime is 427255589. The reversal of 427255584 is 485552724.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (427255589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391559 + ... + 1391865.

It is an arithmetic number, because the mean of its divisors is an integer number (7114800).

Almost surely, 2427255584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427255584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683020800).

427255584 is an abundant number, since it is smaller than the sum of its proper divisors (938786016).

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

427255584 is a wasteful number, since it uses less digits than its factorization.

427255584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its digits is 448000, while the sum is 42.

The square root of 427255584 is about 20670.1616829671. The cubic root of 427255584 is about 753.1750341328.

The spelling of 427255584 in words is "four hundred twenty-seven million, two hundred fifty-five thousand, five hundred eighty-four".