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66492405 = 3257434909
BaseRepresentation
bin1111110110100…
…1011111110101
311122010011102200
43331221133311
5114010224110
610333055113
71435114260
oct375513765
9148104380
1066492405
1134595801
121a327499
1310a11125
148b8bcd7
155c866c0
hex3f697f5

66492405 has 48 divisors (see below), whose sum is σ = 134808960. Its totient is φ = 29683584.

The previous prime is 66492383. The next prime is 66492409. The reversal of 66492405 is 50429466.

66492405 is a `hidden beast` number, since 6 + 649 + 2 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 66492405 - 25 = 66492373 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66492405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66492409) 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 47 ways as a sum of consecutive naturals, for example, 11091 + ... + 15999.

It is an arithmetic number, because the mean of its divisors is an integer number (2808520).

Almost surely, 266492405 is an apocalyptic number.

It is an amenable number.

66492405 is an abundant number, since it is smaller than the sum of its proper divisors (68316555).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66492405 is a wasteful number, since it uses less digits than its factorization.

66492405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66492405 is about 8154.2875225246. The cubic root of 66492405 is about 405.1265265398.

The spelling of 66492405 in words is "sixty-six million, four hundred ninety-two thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1935 2709 4515 4909 13545 14727 24545 34363 44181 73635 103089 171815 211087 220905 309267 515445 633261 1055435 1477609 1546335 1899783 3166305 4432827 7388045 9498915 13298481 22164135 66492405