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490799568 = 24374731079
BaseRepresentation
bin11101010000010…
…000000111010000
31021012112012102210
4131100100013100
52001121041233
6120411312120
715106504350
oct3520200720
91235465383
10490799568
11232052a86
1211844b640
137a8b345c
144927cb60
152d14c163
hex1d4101d0

490799568 has 80 divisors (see below), whose sum is σ = 1479905280. Its totient is φ = 137240448.

The previous prime is 490799531. The next prime is 490799581. The reversal of 490799568 is 865997094.

It is a congruent number.

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, 253 + ... + 31331.

It is an arithmetic number, because the mean of its divisors is an integer number (18498816).

Almost surely, 2490799568 is an apocalyptic number.

490799568 is a gapful number since it is divisible by the number (48) 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 490799568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739952640).

490799568 is an abundant number, since it is smaller than the sum of its proper divisors (989105712).

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

490799568 is a wasteful number, since it uses less digits than its factorization.

490799568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31144 (or 31138 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The square root of 490799568 is about 22153.9966597452. The cubic root of 490799568 is about 788.8020984053.

The spelling of 490799568 in words is "four hundred ninety million, seven hundred ninety-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 15792 31079 62158 93237 124316 186474 217553 248632 372948 435106 497264 652659 745896 870212 1305318 1460713 1491792 1740424 2610636 2921426 3480848 4382139 5221272 5842852 8764278 10224991 10442544 11685704 17528556 20449982 23371408 30674973 35057112 40899964 61349946 70114224 81799928 122699892 163599856 245399784 490799568