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1490641218 = 23511535261
BaseRepresentation
bin101100011011001…
…0110000101000010
310211212220102100000
41120312112011002
511023101004333
6403525340430
751640145523
oct13066260502
93755812300
101490641218
116a54788a0
12357267716
131a9a96531
14101d8884a
158aceb713
hex58d96142

1490641218 has 96 divisors (see below), whose sum is σ = 3723475392. Its totient is φ = 443102400.

The previous prime is 1490641211. The next prime is 1490641249. The reversal of 1490641218 is 8121460941.

1490641218 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 641 + 2 + 1 + 8 = 666.

It is a super-2 number, since 2×14906412182 = 4444022481601047048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1490641211) 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 47 ways as a sum of consecutive naturals, for example, 280708 + ... + 285968.

It is an arithmetic number, because the mean of its divisors is an integer number (38786202).

Almost surely, 21490641218 is an apocalyptic number.

1490641218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1490641218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861737696).

1490641218 is an abundant number, since it is smaller than the sum of its proper divisors (2232834174).

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

1490641218 is a wasteful number, since it uses less digits than its factorization.

1490641218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1490641218 is about 38608.8230589848. The cubic root of 1490641218 is about 1142.3285783283.

The spelling of 1490641218 in words is "one billion, four hundred ninety million, six hundred forty-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 243 297 318 477 486 583 594 891 954 1166 1431 1749 1782 2673 2862 3498 4293 5247 5261 5346 8586 10494 10522 12879 15741 15783 25758 31482 31566 47223 47349 57871 94446 94698 115742 141669 142047 173613 278833 283338 284094 347226 426141 520839 557666 836499 852282 1041678 1278423 1562517 1672998 2509497 2556846 3067163 3125034 4687551 5018994 6134326 7528491 9201489 9375102 14062653 15056982 18402978 22585473 27604467 28125306 45170946 55208934 67756419 82813401 135512838 165626802 248440203 496880406 745320609 1490641218