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490879584 = 253213131111
BaseRepresentation
bin11101010000100…
…011101001100000
31021012200021012100
4131100203221200
52001131121314
6120413130400
715110256546
oct3520435140
91235607170
10490879584
112320a8108
12118489a00
137a9109c0
144929dd96
152d165c09
hex1d423a60

490879584 has 72 divisors (see below), whose sum is σ = 1503330192. Its totient is φ = 151038720.

The previous prime is 490879583. The next prime is 490879621. The reversal of 490879584 is 485978094.

490879584 is a `hidden beast` number, since 490 + 8 + 79 + 5 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 490879584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490879583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61812 + ... + 69299.

It is an arithmetic number, because the mean of its divisors is an integer number (20879586).

Almost surely, 2490879584 is an apocalyptic number.

It is an amenable number.

490879584 is an abundant number, since it is smaller than the sum of its proper divisors (1012450608).

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

490879584 is a wasteful number, since it uses less digits than its factorization.

490879584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131140 (or 131129 counting only the distinct ones).

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

The square root of 490879584 is about 22155.8024905441. The cubic root of 490879584 is about 788.8449627184.

The spelling of 490879584 in words is "four hundred ninety million, eight hundred seventy-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 131111 262222 393333 524444 786666 1048888 1179999 1573332 1704443 2097776 2359998 3146664 3408886 4195552 4719996 5113329 6293328 6817772 9439992 10226658 12586656 13635544 15339987 18879984 20453316 27271088 30679974 37759968 40906632 54542176 61359948 81813264 122719896 163626528 245439792 490879584