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1145393768 = 231714935641
BaseRepresentation
bin100010001000101…
…0101001001101000
32221211021000212102
41010101111021220
54321210100033
6305353432532
740245454301
oct10421251150
92854230772
101145393768
115385aa322
1227b70b748
131533b55bc
14ac1977a8
156a850de8
hex44455268

1145393768 has 32 divisors (see below), whose sum is σ = 2275869960. Its totient is φ = 538552320.

The previous prime is 1145393761. The next prime is 1145393771. The reversal of 1145393768 is 8673935411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1042127524 + 103266244 = 32282^2 + 10162^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1145393761) 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 7 ways as a sum of consecutive naturals, for example, 200228 + ... + 205868.

Almost surely, 21145393768 is an apocalyptic number.

It is an amenable number.

1145393768 is a deficient number, since it is larger than the sum of its proper divisors (1130476192).

1145393768 is a wasteful number, since it uses less digits than its factorization.

1145393768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7153 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The square root of 1145393768 is about 33843.6665862315. Note that the first 3 decimals coincide. The cubic root of 1145393768 is about 1046.2888694690.

The spelling of 1145393768 in words is "one billion, one hundred forty-five million, three hundred ninety-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 17 34 68 136 1493 2986 5641 5972 11282 11944 22564 25381 45128 50762 95897 101524 191794 203048 383588 767176 8422013 16844026 33688052 67376104 143174221 286348442 572696884 1145393768