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93944961 = 33113783103
BaseRepresentation
bin1011001100101…
…11110010000001
320112202220021000
411212113302001
5143022214321
613153322213
72220343005
oct546276201
9215686230
1093944961
1149036270
1227566369
1316603746
14c696705
1583aa826
hex5997c81

93944961 has 64 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 54198720.

The previous prime is 93944959. The next prime is 93944969. The reversal of 93944961 is 16944939.

It is not a de Polignac number, because 93944961 - 21 = 93944959 is a prime.

Its product of digits (209952) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (93944969) 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 63 ways as a sum of consecutive naturals, for example, 912036 + ... + 912138.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 293944961 is an apocalyptic number.

It is an amenable number.

93944961 is a deficient number, since it is larger than the sum of its proper divisors (65399679).

93944961 is a wasteful number, since it uses less digits than its factorization.

93944961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 93944961 is about 9692.5208795236. The cubic root of 93944961 is about 454.5948347456.

The spelling of 93944961 in words is "ninety-three million, nine hundred forty-four thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 27 33 37 83 99 103 111 249 297 309 333 407 747 913 927 999 1133 1221 2241 2739 2781 3071 3399 3663 3811 8217 8549 9213 10197 10989 11433 24651 25647 27639 30591 33781 34299 41921 76941 82917 94039 101343 102897 125763 230823 282117 304029 316313 377289 846351 912087 948939 1131867 2539053 2846817 3479443 8540451 10438329 31314987 93944961