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1006444016 = 24312029121
BaseRepresentation
bin111011111111010…
…001110111110000
32121010210122122022
4323333101313300
54030122202031
6243511331012
733640430054
oct7377216760
92533718568
101006444016
11477125316
12241080a68
13130685306
1497947c64
155d55597b
hex3bfd1df0

1006444016 has 20 divisors (see below), whose sum is σ = 2012889024. Its totient is φ = 486988800.

The previous prime is 1006444009. The next prime is 1006444031. The reversal of 1006444016 is 6104446001.

1006444016 is an admirable number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1014065 + ... + 1015056.

Almost surely, 21006444016 is an apocalyptic number.

1006444016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006444016 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1006444016 is a wasteful number, since it uses less digits than its factorization.

1006444016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029160 (or 2029154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1006444016 is about 31724.5018242998. The cubic root of 1006444016 is about 1002.1434078537.

The spelling of 1006444016 in words is "one billion, six million, four hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 496 2029121 4058242 8116484 16232968 32465936 62902751 125805502 251611004 503222008 1006444016