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427809564 = 2232713130589
BaseRepresentation
bin11001011111111…
…101101100011100
31002210222222101200
4121133331230130
51334004401224
6110241235500
713413215130
oct3137755434
91083888350
10427809564
111aa53a726
12bb332b90
136a82a570
1440b633c0
15278585c9
hex197fdb1c

427809564 has 72 divisors (see below), whose sum is σ = 1330973280. Its totient is φ = 112828032.

The previous prime is 427809527. The next prime is 427809601. The reversal of 427809564 is 465908724.

It is a happy number.

427809564 is a `hidden beast` number, since 4 + 2 + 7 + 80 + 9 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (427809527) and next prime (427809601).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62019 + ... + 68570.

It is an arithmetic number, because the mean of its divisors is an integer number (18485740).

Almost surely, 2427809564 is an apocalyptic number.

It is an amenable number.

427809564 is an abundant number, since it is smaller than the sum of its proper divisors (903163716).

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

427809564 is a wasteful number, since it uses less digits than its factorization.

427809564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130619 (or 130614 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 427809564 is about 20683.5578177450. The cubic root of 427809564 is about 753.5004160337.

The spelling of 427809564 in words is "four hundred twenty-seven million, eight hundred nine thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 130589 261178 391767 522356 783534 914123 1175301 1567068 1697657 1828246 2350602 2742369 3395314 3656492 4701204 5092971 5484738 6790628 8227107 10185942 10969476 11883599 15278913 16454214 20371884 23767198 30557826 32908428 35650797 47534396 61115652 71301594 106952391 142603188 213904782 427809564