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487264096 = 25112612063
BaseRepresentation
bin11101000010110…
…000111101100000
31020221212120200101
4131002300331200
51444214422341
6120203432144
715034451014
oct3502607540
91227776611
10487264096
11230058800
12117225654
1379c46167
14489dc544
152cb9e831
hex1d0b0f60

487264096 has 72 divisors (see below), whose sum is σ = 1072243872. Its totient is φ = 217747200.

The previous prime is 487264091. The next prime is 487264103. The reversal of 487264096 is 690462784.

487264096 = T383 + T384 + ... + T1438.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487264091) 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 11 ways as a sum of consecutive naturals, for example, 235161 + ... + 237223.

It is an arithmetic number, because the mean of its divisors is an integer number (14892276).

Almost surely, 2487264096 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 487264096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536121936).

487264096 is an abundant number, since it is smaller than the sum of its proper divisors (584979776).

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

487264096 is a wasteful number, since it uses less digits than its factorization.

487264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 487264096 is about 22074.0593457570. The cubic root of 487264096 is about 786.9034883402.

The spelling of 487264096 in words is "four hundred eighty-seven million, two hundred sixty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 121 122 176 242 244 352 484 488 671 968 976 1342 1936 1952 2063 2684 3872 4126 5368 7381 8252 10736 14762 16504 21472 22693 29524 33008 45386 59048 66016 90772 118096 125843 181544 236192 249623 251686 363088 499246 503372 726176 998492 1006744 1384273 1996984 2013488 2768546 3993968 4026976 5537092 7987936 11074184 15227003 22148368 30454006 44296736 60908012 121816024 243632048 487264096