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920495953 = 133797109181
BaseRepresentation
bin110110110111011…
…010011101010001
32101011002001001201
4312313122131101
53341121332303
6231201231201
731545041446
oct6667323521
92334061051
10920495953
11432661263
12218332501
13118921780
148a3739cd
1555c2981d
hex36dda751

920495953 has 32 divisors (see below), whose sum is σ = 1043762720. Its totient is φ = 806215680.

The previous prime is 920495941. The next prime is 920495963. The reversal of 920495953 is 359594029.

It can be written as a sum of positive squares in 16 ways, for example, as 314991504 + 605504449 = 17748^2 + 24607^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-920495953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (920495963) 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, 5085523 + ... + 5085703.

It is an arithmetic number, because the mean of its divisors is an integer number (32617585).

Almost surely, 2920495953 is an apocalyptic number.

It is an amenable number.

920495953 is a deficient number, since it is larger than the sum of its proper divisors (123266767).

920495953 is a wasteful number, since it uses less digits than its factorization.

920495953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437.

The product of its (nonzero) digits is 437400, while the sum is 46.

The square root of 920495953 is about 30339.6762177845. The cubic root of 920495953 is about 972.7635623405.

The spelling of 920495953 in words is "nine hundred twenty million, four hundred ninety-five thousand, nine hundred fifty-three".

Divisors: 1 13 37 97 109 181 481 1261 1417 2353 3589 4033 6697 10573 17557 19729 46657 52429 87061 137449 228241 256477 391201 649609 729973 1913713 5085613 8444917 9489649 24878269 70807381 920495953