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40950117 = 361329149
BaseRepresentation
bin1001110000110…
…1100101100101
32212001111000000
42130031211211
540440400432
64021411513
71005033045
oct234154545
985044000
1040950117
112112a47a
1211869b99
13863a150
14561d725
1538dd57c
hex270d965

40950117 has 56 divisors (see below), whose sum is σ = 68859000. Its totient is φ = 24167808.

The previous prime is 40950089. The next prime is 40950121. The reversal of 40950117 is 71105904.

40950117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 40947201 = 54^2 + 6399^2 .

It is not a de Polignac number, because 40950117 - 27 = 40949989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40950137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 274759 + ... + 274907.

It is an arithmetic number, because the mean of its divisors is an integer number (1229625).

Almost surely, 240950117 is an apocalyptic number.

It is an amenable number.

40950117 is a deficient number, since it is larger than the sum of its proper divisors (27908883).

40950117 is a wasteful number, since it uses less digits than its factorization.

40950117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 40950117 is about 6399.2278440449. The cubic root of 40950117 is about 344.6818238546.

The spelling of 40950117 in words is "forty million, nine hundred fifty thousand, one hundred seventeen".

Divisors: 1 3 9 13 27 29 39 81 87 117 149 243 261 351 377 447 729 783 1053 1131 1341 1937 2349 3159 3393 4023 4321 5811 7047 9477 10179 12069 12963 17433 21141 30537 36207 38889 52299 56173 91611 108621 116667 156897 168519 274833 350001 470691 505557 1050003 1412073 1516671 3150009 4550013 13650039 40950117