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1490885946 = 233117931771
BaseRepresentation
bin101100011011101…
…0001110100111010
310211220100212001000
41120313101310322
511023131322241
6403534505430
751642215154
oct13067216472
93756325030
101490885946
116a5625750
12357365276
131a9b50a44
1410200dad4
158ad48eb6
hex58dd1d3a

1490885946 has 64 divisors (see below), whose sum is σ = 3660134400. Its totient is φ = 446050800.

The previous prime is 1490885899. The next prime is 1490885971. The reversal of 1490885946 is 6495880941.

1490885946 is a `hidden beast` number, since 1 + 49 + 0 + 8 + 8 + 594 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1490885892 and 1490885901.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31041 + ... + 62811.

It is an arithmetic number, because the mean of its divisors is an integer number (57189600).

Almost surely, 21490885946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1490885946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830067200).

1490885946 is an abundant number, since it is smaller than the sum of its proper divisors (2169248454).

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

1490885946 is a wasteful number, since it uses less digits than its factorization.

1490885946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31872 (or 31866 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1490885946 is about 38611.9922562926. The cubic root of 1490885946 is about 1142.3910893442.

The spelling of 1490885946 in words is "one billion, four hundred ninety million, eight hundred eighty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 1422 1738 2133 2607 4266 5214 7821 15642 23463 31771 46926 63542 95313 190626 285939 349481 571878 698962 857817 1048443 1715634 2096886 2509909 3145329 5019818 6290658 7529727 9435987 15059454 18871974 22589181 27608999 45178362 55217998 67767543 82826997 135535086 165653994 248480991 496961982 745442973 1490885946