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490269144 = 233414311587
BaseRepresentation
bin11101001110001…
…110100111011000
31021011112020211110
4131032032213120
52001002103034
6120352100320
715102135051
oct3516164730
91234466743
10490269144
11231820512
121182346a0
137a758bb1
1449181728
152d094de9
hex1d38e9d8

490269144 has 64 divisors (see below), whose sum is σ = 1284877440. Its totient is φ = 155715840.

The previous prime is 490269121. The next prime is 490269163. The reversal of 490269144 is 441962094.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 36519 + ... + 48105.

It is an arithmetic number, because the mean of its divisors is an integer number (20076210).

Almost surely, 2490269144 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 490269144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642438720).

490269144 is an abundant number, since it is smaller than the sum of its proper divisors (794608296).

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

490269144 is a wasteful number, since it uses less digits than its factorization.

490269144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 490269144 is about 22142.0221298778. The cubic root of 490269144 is about 788.5178341093.

The spelling of 490269144 in words is "four hundred ninety million, two hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 43 82 86 123 129 164 172 246 258 328 344 492 516 984 1032 1763 3526 5289 7052 10578 11587 14104 21156 23174 34761 42312 46348 69522 92696 139044 278088 475067 498241 950134 996482 1425201 1494723 1900268 1992964 2850402 2989446 3800536 3985928 5700804 5978892 11401608 11957784 20427881 40855762 61283643 81711524 122567286 163423048 245134572 490269144