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489975480 = 233851867
BaseRepresentation
bin11101001101000…
…110111010111000
31021010222100000000
4131031012322320
52000413203410
6120341513000
715066502641
oct3515067270
91233870000
10489975480
1123163a915
12118112760
137a685327
14491066c8
152d037dc0
hex1d346eb8

489975480 has 144 divisors (see below), whose sum is σ = 1654468920. Its totient is φ = 130590144.

The previous prime is 489975457. The next prime is 489975487. The reversal of 489975480 is 84579984.

489975480 is a `hidden beast` number, since 4 + 8 + 9 + 97 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489975487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261507 + ... + 263373.

Almost surely, 2489975480 is an apocalyptic number.

489975480 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 489975480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827234460).

489975480 is an abundant number, since it is smaller than the sum of its proper divisors (1164493440).

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

489975480 is an equidigital number, since it uses as much as digits as its factorization.

489975480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 489975480 is about 22135.3897639052. The cubic root of 489975480 is about 788.3603658064.

The spelling of 489975480 in words is "four hundred eighty-nine million, nine hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1867 1944 2187 2430 2916 3240 3645 3734 4374 4860 5601 5832 6561 7290 7468 8748 9335 9720 10935 11202 13122 14580 14936 16803 17496 18670 21870 22404 26244 28005 29160 32805 33606 37340 43740 44808 50409 52488 56010 65610 67212 74680 84015 87480 100818 112020 131220 134424 151227 168030 201636 224040 252045 262440 302454 336060 403272 453681 504090 604908 672120 756135 907362 1008180 1209816 1361043 1512270 1814724 2016360 2268405 2722086 3024540 3629448 4083129 4536810 5444172 6049080 6805215 8166258 9073620 10888344 12249387 13610430 16332516 18147240 20415645 24498774 27220860 32665032 40831290 48997548 54441720 61246935 81662580 97995096 122493870 163325160 244987740 489975480