Search a number
-
+
480949644 = 223740913999
BaseRepresentation
bin11100101010101…
…011010110001100
31020111222202212210
4130222223112030
51441110342034
6115420230420
714630001360
oct3452532614
91214882783
10480949644
1122753564a
1211509b410
1378844cb6
1447c372a0
152c3538e9
hex1caab58c

480949644 has 48 divisors (see below), whose sum is σ = 1285760000. Its totient is φ = 137068416.

The previous prime is 480949633. The next prime is 480949657. The reversal of 480949644 is 446949084.

It is a happy number.

It is a super-3 number, since 3×4809496443 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480949593 and 480949602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27357 + ... + 41355.

Almost surely, 2480949644 is an apocalyptic number.

It is an amenable number.

480949644 is an abundant number, since it is smaller than the sum of its proper divisors (804810356).

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

480949644 is a wasteful number, since it uses less digits than its factorization.

480949644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14422 (or 14420 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 480949644 is about 21930.5641514303. The cubic root of 480949644 is about 783.4895395542.

The spelling of 480949644 in words is "four hundred eighty million, nine hundred forty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 409 818 1227 1636 2454 2863 4908 5726 8589 11452 13999 17178 27998 34356 41997 55996 83994 97993 167988 195986 293979 391972 587958 1175916 5725591 11451182 17176773 22902364 34353546 40079137 68707092 80158274 120237411 160316548 240474822 480949644