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1006916386 = 27261389433
BaseRepresentation
bin111100000001000…
…101001100100010
32121011200122121111
4330001011030202
54030232311021
6243525413534
733644435200
oct7401051442
92534618544
101006916386
11477418203
1224126a2aa
131307bc318
1497a2c070
155d5ea8e1
hex3c045322

1006916386 has 48 divisors (see below), whose sum is σ = 1794494520. Its totient is φ = 422392320.

The previous prime is 1006916377. The next prime is 1006916387. The reversal of 1006916386 is 6836196001.

It can be written as a sum of positive squares in 4 ways, for example, as 244328161 + 762588225 = 15631^2 + 27615^2 .

It is not an unprimeable number, because it can be changed into a prime (1006916387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2325226 + ... + 2325658.

Almost surely, 21006916386 is an apocalyptic number.

1006916386 is a deficient number, since it is larger than the sum of its proper divisors (787578134).

1006916386 is a wasteful number, since it uses less digits than its factorization.

1006916386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1006916386 is about 31731.9458275095. The cubic root of 1006916386 is about 1002.3001671744.

The spelling of 1006916386 in words is "one billion, six million, nine hundred sixteen thousand, three hundred eighty-six".

Divisors: 1 2 7 14 49 61 98 122 389 427 433 778 854 866 2723 2989 3031 5446 5978 6062 19061 21217 23729 26413 38122 42434 47458 52826 166103 168437 184891 332206 336874 369782 1162721 1179059 1294237 2325442 2358118 2588474 8253413 10274657 16506826 20549314 71922599 143845198 503458193 1006916386