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427716576 = 25327212161
BaseRepresentation
bin11001011111100…
…110111111100000
31002210211020211200
4121133212333200
51333443412301
6110235241200
713412350050
oct3137467740
91083736750
10427716576
111aa486881
12bb2a9200
136a7c7141
1440b3b560
152783ac86
hex197e6fe0

427716576 has 72 divisors (see below), whose sum is σ = 1390085424. Its totient is φ = 122204160.

The previous prime is 427716511. The next prime is 427716577. The reversal of 427716576 is 675617724.

427716576 is a `hidden beast` number, since 4 + 2 + 7 + 71 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427716577) 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, 104065 + ... + 108096.

It is an arithmetic number, because the mean of its divisors is an integer number (19306742).

Almost surely, 2427716576 is an apocalyptic number.

It is an amenable number.

427716576 is an abundant number, since it is smaller than the sum of its proper divisors (962368848).

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

427716576 is a wasteful number, since it uses less digits than its factorization.

427716576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212184 (or 212173 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 427716576 is about 20681.3098231229. The cubic root of 427716576 is about 753.4458188642.

It can be divided in two parts, 427716 and 576, that multiplied together give a square (246364416 = 156962).

The spelling of 427716576 in words is "four hundred twenty-seven million, seven hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 212161 424322 636483 848644 1272966 1485127 1697288 1909449 2545932 2970254 3394576 3818898 4455381 5091864 5940508 6789152 7637796 8910762 10183728 11881016 13366143 15275592 17821524 20367456 23762032 26732286 30551184 35643048 47524064 53464572 61102368 71286096 106929144 142572192 213858288 427716576