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947125985 = 513891011621
BaseRepresentation
bin111000011100111…
…111111011100001
32110000011222121012
4320130333323201
53414431012420
6233552110305
732320303151
oct7034777341
92400158535
10947125985
1144669a853
12225235395
131212b68a0
148db06761
1558239dc5
hex3873fee1

947125985 has 32 divisors (see below), whose sum is σ = 1250756640. Its totient is φ = 684288000.

The previous prime is 947125979. The next prime is 947125987. The reversal of 947125985 is 589521749.

It can be written as a sum of positive squares in 16 ways, for example, as 136983616 + 810142369 = 11704^2 + 28463^2 .

It is not a de Polignac number, because 947125985 - 216 = 947060449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (947125987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583475 + ... + 585095.

It is an arithmetic number, because the mean of its divisors is an integer number (39086145).

Almost surely, 2947125985 is an apocalyptic number.

It is an amenable number.

947125985 is a deficient number, since it is larger than the sum of its proper divisors (303630655).

947125985 is a wasteful number, since it uses less digits than its factorization.

947125985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829.

The product of its digits is 907200, while the sum is 50.

The square root of 947125985 is about 30775.4120199876. The cubic root of 947125985 is about 982.0552400819.

The spelling of 947125985 in words is "nine hundred forty-seven million, one hundred twenty-five thousand, nine hundred eighty-five".

Divisors: 1 5 13 65 89 101 445 505 1157 1313 1621 5785 6565 8105 8989 21073 44945 105365 116857 144269 163721 584285 721345 818605 1875497 2128373 9377485 10641865 14571169 72855845 189425197 947125985