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487809540 = 223451272371
BaseRepresentation
bin11101000100110…
…110001000000100
31020222220021220000
4131010312020010
51444334401130
6120223241300
715042212151
oct3504661004
91228807800
10487809540
112303a0589
12117449230
137a0a74ca
1448b01228
152cc5b260
hex1d136204

487809540 has 120 divisors (see below), whose sum is σ = 1542976512. Its totient is φ = 129003840.

The previous prime is 487809533. The next prime is 487809563. The reversal of 487809540 is 45908784.

487809540 is a `hidden beast` number, since 487 + 80 + 95 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204555 + ... + 206925.

Almost surely, 2487809540 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 487809540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771488256).

487809540 is an abundant number, since it is smaller than the sum of its proper divisors (1055166972).

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

487809540 is a wasteful number, since it uses less digits than its factorization.

487809540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 487809540 is about 22086.4107541266. The cubic root of 487809540 is about 787.1969990776.

The spelling of 487809540 in words is "four hundred eighty-seven million, eight hundred nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 324 381 405 508 540 635 762 810 1143 1270 1524 1620 1905 2286 2371 2540 3429 3810 4572 4742 5715 6858 7113 7620 9484 10287 11430 11855 13716 14226 17145 20574 21339 22860 23710 28452 34290 35565 41148 42678 47420 51435 64017 68580 71130 85356 102870 106695 128034 142260 192051 205740 213390 256068 301117 320085 384102 426780 602234 640170 768204 903351 960255 1204468 1280340 1505585 1806702 1920510 2710053 3011170 3613404 3841020 4516755 5420106 6022340 8130159 9033510 10840212 13550265 16260318 18067020 24390477 27100530 32520636 40650795 48780954 54201060 81301590 97561908 121952385 162603180 243904770 487809540