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490864698 = 234171371301
BaseRepresentation
bin11101010000100…
…000000000111010
31021012122111210000
4131100200000322
52001130132243
6120412533430
715110165262
oct3520400072
91235574700
10490864698
11232097a05
12118481276
137a906cac
14492987a2
152d1615d3
hex1d42003a

490864698 has 80 divisors (see below), whose sum is σ = 1174002984. Its totient is φ = 152755200.

The previous prime is 490864697. The next prime is 490864711. The reversal of 490864698 is 896468094.

490864698 is a `hidden beast` number, since 490 + 8 + 64 + 6 + 98 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 346071609 + 144793089 = 18603^2 + 12033^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (490864697) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376648 + ... + 377948.

Almost surely, 2490864698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490864698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587001492).

490864698 is an abundant number, since it is smaller than the sum of its proper divisors (683138286).

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

490864698 is a wasteful number, since it uses less digits than its factorization.

490864698 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 490864698 is about 22155.4665489129. The cubic root of 490864698 is about 788.8369886889.

The spelling of 490864698 in words is "four hundred ninety million, eight hundred sixty-four thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 137 153 162 274 306 411 459 822 918 1233 1301 1377 2329 2466 2602 2754 3699 3903 4658 6987 7398 7806 11097 11709 13974 20961 22117 22194 23418 35127 41922 44234 62883 66351 70254 105381 125766 132702 178237 188649 199053 210762 356474 377298 398106 534711 597159 1069422 1194318 1604133 1791477 3030029 3208266 3582954 4812399 6060058 9090087 9624798 14437197 18180174 27270261 28874394 54540522 81810783 163621566 245432349 490864698