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490378064 = 241113121269
BaseRepresentation
bin11101001110101…
…001001101010000
31021011201210020112
4131032221031100
52001014044224
6120354300452
715103100441
oct3516511520
91234653215
10490378064
11231895330
12118287728
137a796647
14491ad2c8
152d0b730e
hex1d3a9350

490378064 has 40 divisors (see below), whose sum is σ = 1044442080. Its totient is φ = 221187200.

The previous prime is 490378061. The next prime is 490378093. The reversal of 490378064 is 460873094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490378061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12422 + ... + 33690.

It is an arithmetic number, because the mean of its divisors is an integer number (26111052).

Almost surely, 2490378064 is an apocalyptic number.

490378064 is a gapful number since it is divisible by the number (44) 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 490378064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522221040).

490378064 is an abundant number, since it is smaller than the sum of its proper divisors (554064016).

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

490378064 is a wasteful number, since it uses less digits than its factorization.

490378064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21419 (or 21413 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 490378064 is about 22144.4815699081. The cubic root of 490378064 is about 788.5762231282.

The spelling of 490378064 in words is "four hundred ninety million, three hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1048 1441 2096 2882 5764 11528 21269 23056 42538 85076 170152 233959 340304 467918 935836 1871672 2786239 3743344 5572478 11144956 22289912 30648629 44579824 61297258 122594516 245189032 490378064