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490130592 = 25371275743
BaseRepresentation
bin11101001101101…
…100110010100000
31021011021012202220
4131031230302200
52000433134332
6120345111040
715101020110
oct3515546240
91234235686
10490130592
11231736406
12118188480
137a70ab03
1449147040
152d068d2c
hex1d36cca0

490130592 has 96 divisors (see below), whose sum is σ = 1482227712. Its totient is φ = 138910464.

The previous prime is 490130581. The next prime is 490130603. The reversal of 490130592 is 295031094.

It is an interprime number because it is at equal distance from previous prime (490130581) and next prime (490130603).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82473 + ... + 88215.

It is an arithmetic number, because the mean of its divisors is an integer number (15439872).

Almost surely, 2490130592 is an apocalyptic number.

490130592 is a gapful number since it is divisible by the number (42) 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 490130592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741113856).

490130592 is an abundant number, since it is smaller than the sum of its proper divisors (992097120).

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

490130592 is a wasteful number, since it uses less digits than its factorization.

490130592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 490130592 is about 22138.8931972671. The cubic root of 490130592 is about 788.4435476910.

The spelling of 490130592 in words is "four hundred ninety million, one hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 336 381 508 672 762 889 1016 1524 1778 2032 2667 3048 3556 4064 5334 5743 6096 7112 10668 11486 12192 14224 17229 21336 22972 28448 34458 40201 42672 45944 68916 80402 85344 91888 120603 137832 160804 183776 241206 275664 321608 482412 551328 643216 729361 964824 1286432 1458722 1929648 2188083 2917444 3859296 4376166 5105527 5834888 8752332 10211054 11669776 15316581 17504664 20422108 23339552 30633162 35009328 40844216 61266324 70018656 81688432 122532648 163376864 245065296 490130592