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490403328 = 293378629
BaseRepresentation
bin11101001110101…
…111011000000000
31021011210001220020
4131032233120000
52001020401303
6120355013440
715103234212
oct3516573000
91234701806
10490403328
11231902308
1211829a280
137a7a4cac
14491b85b2
152d0bea53
hex1d3af600

490403328 has 80 divisors (see below), whose sum is σ = 1341930480. Its totient is φ = 159031296.

The previous prime is 490403327. The next prime is 490403359. The reversal of 490403328 is 823304094.

It is a super-2 number, since 2×4904033282 = 480990848226951168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490403327) 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, 52518 + ... + 61146.

It is an arithmetic number, because the mean of its divisors is an integer number (16774131).

Almost surely, 2490403328 is an apocalyptic number.

490403328 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 490403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670965240).

490403328 is an abundant number, since it is smaller than the sum of its proper divisors (851527152).

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

490403328 is an equidigital number, since it uses as much as digits as its factorization.

490403328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8687 (or 8671 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 490403328 is about 22145.0519981327. The cubic root of 490403328 is about 788.5897652291.

The spelling of 490403328 in words is "four hundred ninety million, four hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2368 3552 4736 7104 8629 9472 14208 17258 18944 25887 28416 34516 51774 56832 69032 103548 138064 207096 276128 319273 414192 552256 638546 828384 957819 1104512 1277092 1656768 1915638 2209024 2554184 3313536 3831276 4418048 5108368 6627072 7662552 10216736 13254144 15325104 20433472 30650208 40866944 61300416 81733888 122600832 163467776 245201664 490403328