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487650240 = 26335711733
BaseRepresentation
bin11101000100001…
…111001111000000
31020222121012101000
4131010033033000
51444314301430
6120220012000
715040646550
oct3504171700
91228535330
10487650240
112302a1930
12117391000
137a04cb4c
1448a9d160
152cc28e60
hex1d10f3c0

487650240 has 448 divisors, whose sum is σ = 2147742720. Its totient is φ = 101191680.

The previous prime is 487650227. The next prime is 487650259. The reversal of 487650240 is 42056784.

487650240 is a `hidden beast` number, since 48 + 76 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 487650195 and 487650204.

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 63 ways as a sum of consecutive naturals, for example, 664914 + ... + 665646.

Almost surely, 2487650240 is an apocalyptic number.

487650240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073871360).

487650240 is an abundant number, since it is smaller than the sum of its proper divisors (1660092480).

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

487650240 is a wasteful number, since it uses less digits than its factorization.

487650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 487650240 is about 22082.8041697607. The cubic root of 487650240 is about 787.1113002379. Note that the first 3 decimals are identical.

The spelling of 487650240 in words is "four hundred eighty-seven million, six hundred fifty thousand, two hundred forty".