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490058208 = 2533896373
BaseRepresentation
bin11101001101011…
…011000111100000
31021011010112111000
4131031123013200
52000423330313
6120343352000
715100266063
oct3515330740
91234115430
10490058208
11231696a92
12118152600
137a6b3b93
14491288da
152d052673
hex1d35b1e0

490058208 has 96 divisors (see below), whose sum is σ = 1445623200. Its totient is φ = 161491968.

The previous prime is 490058207. The next prime is 490058209. The reversal of 490058208 is 802850094.

It is an interprime number because it is at equal distance from previous prime (490058207) and next prime (490058209).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490058207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73710 + ... + 80082.

It is an arithmetic number, because the mean of its divisors is an integer number (15058575).

Almost surely, 2490058208 is an apocalyptic number.

490058208 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 490058208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722811600).

490058208 is an abundant number, since it is smaller than the sum of its proper divisors (955564992).

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

490058208 is a wasteful number, since it uses less digits than its factorization.

490058208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 490058208 is about 22137.2583668349. The cubic root of 490058208 is about 788.4047325205.

The spelling of 490058208 in words is "four hundred ninety million, fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 89 96 108 144 178 216 267 288 356 432 534 712 801 864 1068 1424 1602 2136 2403 2848 3204 4272 4806 6373 6408 8544 9612 12746 12816 19119 19224 25492 25632 38238 38448 50984 57357 76476 76896 101968 114714 152952 172071 203936 229428 305904 344142 458856 567197 611808 688284 917712 1134394 1376568 1701591 1835424 2268788 2753136 3403182 4537576 5104773 5506272 6806364 9075152 10209546 13612728 15314319 18150304 20419092 27225456 30628638 40838184 54450912 61257276 81676368 122514552 163352736 245029104 490058208