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1490819904 = 2634725869
BaseRepresentation
bin101100011011100…
…0001101101000000
310211220020111110000
41120313001231000
511023122214104
6403533240000
751641521500
oct13067015500
93756214400
101490819904
116a5590072
12357333000
131a9b29972
14101dd3a00
158ad34639
hex58dc1b40

1490819904 has 210 divisors, whose sum is σ = 5141644530. Its totient is φ = 425875968.

The previous prime is 1490819899. The next prime is 1490819909. The reversal of 1490819904 is 4099180941.

It is an interprime number because it is at equal distance from previous prime (1490819899) and next prime (1490819909).

It can be written as a sum of positive squares in only one way, i.e., 976437504 + 514382400 = 31248^2 + 22680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1490819904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490819909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 251082 + ... + 256950.

Almost surely, 21490819904 is an apocalyptic number.

1490819904 is a gapful number since it is divisible by the number (14) 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 1490819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570822265).

1490819904 is an abundant number, since it is smaller than the sum of its proper divisors (3650824626).

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

1490819904 is an equidigital number, since it uses as much as digits as its factorization.

1490819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1490819904 is about 38611.1370461943. The cubic root of 1490819904 is about 1142.3742208716.

The spelling of 1490819904 in words is "one billion, four hundred ninety million, eight hundred nineteen thousand, nine hundred four".