Search a number
-
+
3936465040 = 24549205813
BaseRepresentation
bin1110101010100001…
…1011000010010000
3101011100011010212111
43222220123002100
531030213340130
61450340035104
7166356254314
oct35250330220
911140133774
103936465040
1117400394a2
1291a392a94
134a9707771
14294b35b44
151808c502a
hexeaa1b090

3936465040 has 20 divisors (see below), whose sum is σ = 9152281404. Its totient is φ = 1574585984.

The previous prime is 3936465037. The next prime is 3936465041. The reversal of 3936465040 is 405646393.

It can be written as a sum of positive squares in 2 ways, for example, as 1368408064 + 2568056976 = 36992^2 + 50676^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×39364650402 = 30991514022284403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3936464984 and 3936465002.

It is not an unprimeable number, because it can be changed into a prime (3936465041) 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 3 ways as a sum of consecutive naturals, for example, 24602827 + ... + 24602986.

Almost surely, 23936465040 is an apocalyptic number.

It is an amenable number.

3936465040 is an abundant number, since it is smaller than the sum of its proper divisors (5215816364).

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

3936465040 is a wasteful number, since it uses less digits than its factorization.

3936465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49205826 (or 49205820 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The square root of 3936465040 is about 62741.2546893987. The cubic root of 3936465040 is about 1578.9515342845.

The spelling of 3936465040 in words is "three billion, nine hundred thirty-six million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 49205813 98411626 196823252 246029065 393646504 492058130 787293008 984116260 1968232520 3936465040