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487954944 = 2932176229
BaseRepresentation
bin11101000101011…
…001101000000000
31021000011200100100
4131011121220000
51444404024234
6120230322400
715043356111
oct3505315000
91230150310
10487954944
1123048a854
121174b9400
137a128749
1448b3c208
152cc89399
hex1d159a00

487954944 has 120 divisors (see below), whose sum is σ = 1491349860. Its totient is φ = 153059328.

The previous prime is 487954919. The next prime is 487954949. The reversal of 487954944 is 449459784.

It can be written as a sum of positive squares in 2 ways, for example, as 476985600 + 10969344 = 21840^2 + 3312^2 .

It is not an unprimeable number, because it can be changed into a prime (487954949) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 75222 + ... + 81450.

Almost surely, 2487954944 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 487954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745674930).

487954944 is an abundant number, since it is smaller than the sum of its proper divisors (1003394916).

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

487954944 is a wasteful number, since it uses less digits than its factorization.

487954944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6251 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 487954944 is about 22089.7022161911. The cubic root of 487954944 is about 787.2752059817.

The spelling of 487954944 in words is "four hundred eighty-seven million, nine hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6229 6528 8704 9792 12458 13056 18687 19584 24916 26112 37374 39168 49832 56061 74748 78336 99664 105893 112122 149496 199328 211786 224244 298992 317679 398656 423572 448488 597984 635358 797312 847144 896976 953037 1195968 1270716 1594624 1694288 1793952 1906074 2391936 2541432 3189248 3388576 3587904 3812148 4783872 5082864 6777152 7175808 7624296 9567744 10165728 13554304 14351616 15248592 20331456 27108608 28703232 30497184 40662912 54217216 60994368 81325824 121988736 162651648 243977472 487954944