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142764993 = 32719412909
BaseRepresentation
bin10001000001001…
…10101111000001
3100221122012202100
420200212233001
5243021434433
622055541013
73352324320
oct1040465701
9327565670
10142764993
11736504a8
123b98a769
1323767a37
1414d640b7
15c800b13
hex8826bc1

142764993 has 48 divisors (see below), whose sum is σ = 254217600. Its totient is φ = 75375360.

The previous prime is 142764983. The next prime is 142765001. The reversal of 142764993 is 399467241.

It is a happy number.

It is not a de Polignac number, because 142764993 - 210 = 142763969 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (142764943) 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 47 ways as a sum of consecutive naturals, for example, 47623 + ... + 50531.

It is an arithmetic number, because the mean of its divisors is an integer number (5296200).

Almost surely, 2142764993 is an apocalyptic number.

It is an amenable number.

142764993 is a deficient number, since it is larger than the sum of its proper divisors (111452607).

142764993 is a wasteful number, since it uses less digits than its factorization.

142764993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2979 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 142764993 is about 11948.4305663966. The cubic root of 142764993 is about 522.6455328984.

The spelling of 142764993 in words is "one hundred forty-two million, seven hundred sixty-four thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 19 21 41 57 63 123 133 171 287 369 399 779 861 1197 2337 2583 2909 5453 7011 8727 16359 20363 26181 49077 55271 61089 119269 165813 183267 357807 386897 497439 834883 1073421 1160691 2266111 2504649 3482073 6798333 7513947 15862777 20394999 47588331 142764993