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487760976 = 243229271431
BaseRepresentation
bin11101000100101…
…010010001010000
31020222210211021100
4131010222101100
51444331322401
6120222224400
715041620443
oct3504522120
91228724240
10487760976
1123036804a
12117425100
137a08b381
1448acb65a
152cc4bb86
hex1d12a450

487760976 has 120 divisors (see below), whose sum is σ = 1420623360. Its totient is φ = 156038400.

The previous prime is 487760953. The next prime is 487760981. The reversal of 487760976 is 679067784.

487760976 is a `hidden beast` number, since 487 + 76 + 0 + 97 + 6 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1131481 + ... + 1131911.

It is an arithmetic number, because the mean of its divisors is an integer number (11838528).

Almost surely, 2487760976 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 487760976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710311680).

487760976 is an abundant number, since it is smaller than the sum of its proper divisors (932862384).

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

487760976 is a wasteful number, since it uses less digits than its factorization.

487760976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 487760976 is about 22085.3113177062. The cubic root of 487760976 is about 787.1708750131.

The spelling of 487760976 in words is "four hundred eighty-seven million, seven hundred sixty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 271 348 431 464 522 542 696 813 862 1044 1084 1293 1392 1626 1724 2088 2168 2439 2586 3252 3448 3879 4176 4336 4878 5172 6504 6896 7758 7859 9756 10344 12499 13008 15516 15718 19512 20688 23577 24998 31032 31436 37497 39024 47154 49996 62064 62872 70731 74994 94308 99992 112491 116801 125744 141462 149988 188616 199984 224982 233602 282924 299976 350403 377232 449964 467204 565848 599952 700806 899928 934408 1051209 1131696 1401612 1799856 1868816 2102418 2803224 3387229 4204836 5606448 6774458 8409672 10161687 13548916 16819344 20323374 27097832 30485061 40646748 54195664 60970122 81293496 121940244 162586992 243880488 487760976