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487493280 = 253252341359
BaseRepresentation
bin11101000011101…
…000111010100000
31020222022020001200
4131003220322200
51444244241110
6120212401200
715036424131
oct3503507240
91228266050
10487493280
112301a4a0a
12117316200
1379cc6581
1448a5bc88
152cbe76c0
hex1d0e8ea0

487493280 has 288 divisors, whose sum is σ = 1783192320. Its totient is φ = 120975360.

The previous prime is 487493269. The next prime is 487493287. The reversal of 487493280 is 82394784.

487493280 is a `hidden beast` number, since 4 + 87 + 493 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487493287) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1357741 + ... + 1358099.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2487493280 is an apocalyptic number.

487493280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

487493280 is the 11040-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

487493280 is an abundant number, since it is smaller than the sum of its proper divisors (1295699040).

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

487493280 is a wasteful number, since it uses less digits than its factorization.

487493280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 487493280 is about 22079.2499872618. The cubic root of 487493280 is about 787.0268419951.

The spelling of 487493280 in words is "four hundred eighty-seven million, four hundred ninety-three thousand, two hundred eighty".