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1007764227 = 33371008773
BaseRepresentation
bin111100000100010…
…100001100000011
32121020021201122000
4330010110030003
54030441423402
6243555515043
733654566061
oct7404241403
92536251560
101007764227
114779471a8
122415b8a83
13130a281c2
1497bad031
155d716c1c
hex3c114303

1007764227 has 16 divisors (see below), whose sum is σ = 1533336480. Its totient is φ = 653684256.

The previous prime is 1007764217. The next prime is 1007764229. The reversal of 1007764227 is 7224677001.

It is a happy number.

1007764227 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 7 + 642 + 2 + 7 = 666.

It is not a de Polignac number, because 1007764227 - 214 = 1007747843 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1007764191 and 1007764200.

It is not an unprimeable number, because it can be changed into a prime (1007764229) 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 15 ways as a sum of consecutive naturals, for example, 503388 + ... + 505385.

It is an arithmetic number, because the mean of its divisors is an integer number (95833530).

Almost surely, 21007764227 is an apocalyptic number.

1007764227 is a deficient number, since it is larger than the sum of its proper divisors (525572253).

1007764227 is a wasteful number, since it uses less digits than its factorization.

1007764227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008819 (or 1008813 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 1007764227 is about 31745.3024398886. The cubic root of 1007764227 is about 1002.5814062744.

The spelling of 1007764227 in words is "one billion, seven million, seven hundred sixty-four thousand, two hundred twenty-seven".

Divisors: 1 3 9 27 37 111 333 999 1008773 3026319 9078957 27236871 37324601 111973803 335921409 1007764227