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948140949 = 371741211307
BaseRepresentation
bin111000100000110…
…111101110010101
32110002002112212110
4320200313232111
53420211002244
6234025541233
732332031220
oct7040675625
92402075773
10948140949
11447223368
12225644819
13121580862
148dccc5b7
155838a9b9
hex38837b95

948140949 has 64 divisors (see below), whose sum is σ = 1579640832. Its totient is φ = 493516800.

The previous prime is 948140933. The next prime is 948140951. The reversal of 948140949 is 949041849.

It is a happy number.

It is not a de Polignac number, because 948140949 - 24 = 948140933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 948140898 and 948140907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948140909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3088254 + ... + 3088560.

It is an arithmetic number, because the mean of its divisors is an integer number (24681888).

Almost surely, 2948140949 is an apocalyptic number.

It is an amenable number.

948140949 is a deficient number, since it is larger than the sum of its proper divisors (631499883).

948140949 is a wasteful number, since it uses less digits than its factorization.

948140949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 948140949 is about 30791.8974569610. The cubic root of 948140949 is about 982.4059132041.

The spelling of 948140949 in words is "nine hundred forty-eight million, one hundred forty thousand, nine hundred forty-nine".

Divisors: 1 3 7 17 21 41 51 119 123 211 287 307 357 633 697 861 921 1477 2091 2149 3587 4431 4879 5219 6447 8651 10761 12587 14637 15657 25109 25953 36533 37761 60557 64777 75327 88109 109599 147067 181671 194331 213979 264327 441201 453439 641937 1029469 1101209 1360317 1497853 2655857 3088407 3303627 4493559 7708463 7967571 18590999 23125389 45149569 55772997 135448707 316046983 948140949