Search a number
-
+
3967493945 = 541100919181
BaseRepresentation
bin1110110001111011…
…0010011100111001
3101020111112120112012
43230132302130321
531111134301240
61453405055305
7200214066512
oct35436623471
911214476465
103967493945
111756601a18
12928857535
134b2c7cb6c
14298cd1a09
151834a3b65
hexec7b2739

3967493945 has 16 divisors (see below), whose sum is σ = 4882202640. Its totient is φ = 3093350400.

The previous prime is 3967493939. The next prime is 3967493947. The reversal of 3967493945 is 5493947693.

It can be written as a sum of positive squares in 8 ways, for example, as 380562064 + 3586931881 = 19508^2 + 59891^2 .

It is not a de Polignac number, because 3967493945 - 28 = 3967493689 is a prime.

It is a super-2 number, since 2×39674939452 = 31482016407223326050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3967493947) 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 15 ways as a sum of consecutive naturals, for example, 197255 + ... + 216435.

It is an arithmetic number, because the mean of its divisors is an integer number (305137665).

Almost surely, 23967493945 is an apocalyptic number.

It is an amenable number.

3967493945 is a deficient number, since it is larger than the sum of its proper divisors (914708695).

3967493945 is a wasteful number, since it uses less digits than its factorization.

3967493945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20236.

The product of its digits is 22044960, while the sum is 59.

The square root of 3967493945 is about 62988.0460484368. The cubic root of 3967493945 is about 1583.0893388993.

The spelling of 3967493945 in words is "three billion, nine hundred sixty-seven million, four hundred ninety-three thousand, nine hundred forty-five".

Divisors: 1 5 41 205 1009 5045 19181 41369 95905 206845 786421 3932105 19353629 96768145 793498789 3967493945