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427597056 = 2834171213
BaseRepresentation
bin11001011111001…
…001110100000000
31002210121011220000
4121133021310000
51333431101211
6110232520000
713411341435
oct3137116400
91083534800
10427597056
111aa404aa7
12bb250000
136a784913
1440b09b8c
1527815656
hex197c9d00

427597056 has 180 divisors, whose sum is σ = 1351131012. Its totient is φ = 134037504.

The previous prime is 427596991. The next prime is 427597061. The reversal of 427597056 is 650795724.

427597056 is a `hidden beast` number, since 4 + 2 + 7 + 597 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153363456 + 274233600 = 12384^2 + 16560^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 351906 + ... + 353118.

Almost surely, 2427597056 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 427597056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675565506).

427597056 is an abundant number, since it is smaller than the sum of its proper divisors (923533956).

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

427597056 is a wasteful number, since it uses less digits than its factorization.

427597056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 427597056 is about 20678.4200557006. The cubic root of 427597056 is about 753.3756320173.

The spelling of 427597056 in words is "four hundred twenty-seven million, five hundred ninety-seven thousand, fifty-six".