Search a number
-
+
3679263648 = 25341419469
BaseRepresentation
bin1101101101001101…
…0001101110100000
3100111102011221220000
43123103101232200
530013342414043
61405031220000
7160114140114
oct33323215640
910442157800
103679263648
111618937265
12868217600
134683432a8
1426c903744
1516801c2d3
hexdb4d1ba0

3679263648 has 60 divisors (see below), whose sum is σ = 10820619810. Its totient is φ = 1226420352.

The previous prime is 3679263647. The next prime is 3679263667. The reversal of 3679263648 is 8463629763.

3679263648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3371892624 + 307371024 = 58068^2 + 17532^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3679263594 and 3679263603.

It is not an unprimeable number, because it can be changed into a prime (3679263647) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 707143 + ... + 712326.

Almost surely, 23679263648 is an apocalyptic number.

It is an amenable number.

3679263648 is an abundant number, since it is smaller than the sum of its proper divisors (7141356162).

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

3679263648 is a wasteful number, since it uses less digits than its factorization.

3679263648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419491 (or 1419474 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 3679263648 is about 60656.9340471475. The cubic root of 3679263648 is about 1543.7855438761.

The spelling of 3679263648 in words is "three billion, six hundred seventy-nine million, two hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1419469 2838938 4258407 5677876 8516814 11355752 12775221 17033628 22711504 25550442 34067256 38325663 45423008 51100884 68134512 76651326 102201768 114976989 136269024 153302652 204403536 229953978 306605304 408807072 459907956 613210608 919815912 1226421216 1839631824 3679263648