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1490287968 = 253213267457
BaseRepresentation
bin101100011010011…
…1111110101100000
310211212020110202200
41120310333311200
511023003203333
6403514013200
751634144611
oct13064776540
93755213680
101490287968
116a5257454
12357117200
131a99a1800
14101cd5c08
158ac7bc13
hex58d3fd60

1490287968 has 216 divisors, whose sum is σ = 4667769288. Its totient is φ = 450717696.

The previous prime is 1490287943. The next prime is 1490287969. The reversal of 1490287968 is 8697820941.

1490287968 is a `hidden beast` number, since 1 + 490 + 28 + 79 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490287969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3260796 + ... + 3261252.

It is an arithmetic number, because the mean of its divisors is an integer number (21610043).

Almost surely, 21490287968 is an apocalyptic number.

1490287968 is a gapful number since it is divisible by the number (18) 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 1490287968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333884644).

1490287968 is an abundant number, since it is smaller than the sum of its proper divisors (3177481320).

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

1490287968 is a wasteful number, since it uses less digits than its factorization.

1490287968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1490287968 is about 38604.2480563992. The cubic root of 1490287968 is about 1142.2383354079.

The spelling of 1490287968 in words is "one billion, four hundred ninety million, two hundred eighty-seven thousand, nine hundred sixty-eight".