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953142093 = 33477310289
BaseRepresentation
bin111000110011111…
…100101101001101
32110102111122011000
4320303330231031
53423001021333
6234325050513
732422400631
oct7063745515
92412448130
10953142093
1144a029842
12227256a39
13122612007
1490830dc1
1558a27713
hex38cfcb4d

953142093 has 32 divisors (see below), whose sum is σ = 1462003200. Its totient is φ = 613329408.

The previous prime is 953142083. The next prime is 953142097. The reversal of 953142093 is 390241359.

It is a happy number.

It is not a de Polignac number, because 953142093 - 25 = 953142061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953142097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87493 + ... + 97781.

It is an arithmetic number, because the mean of its divisors is an integer number (45687600).

Almost surely, 2953142093 is an apocalyptic number.

It is an amenable number.

953142093 is a deficient number, since it is larger than the sum of its proper divisors (508861107).

953142093 is a wasteful number, since it uses less digits than its factorization.

953142093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 953142093 is about 30872.9994169663. Note that the first 3 decimals coincide. The cubic root of 953142093 is about 984.1301787171.

Adding to 953142093 its sum of digits (36), we get a square (953142129 = 308732).

The spelling of 953142093 in words is "nine hundred fifty-three million, one hundred forty-two thousand, ninety-three".

Divisors: 1 3 9 27 47 73 141 219 423 657 1269 1971 3431 10289 10293 30867 30879 92601 92637 277803 483583 751097 1450749 2253291 4352247 6759873 13056741 20279619 35301559 105904677 317714031 953142093