Search a number
-
+
928000049 = 67127191571
BaseRepresentation
bin110111010100000…
…010100000110001
32101200012021202012
4313110002200301
53400032000144
6232030132305
731665604334
oct6724024061
92350167665
10928000049
11436917199
1221a951095
1311a34b272
148b36861b
155670ce9e
hex37502831

928000049 has 16 divisors (see below), whose sum is σ = 955908096. Its totient is φ = 900622800.

The previous prime is 928000043. The next prime is 928000079. The reversal of 928000049 is 940000829.

It is a cyclic number.

It is not a de Polignac number, because 928000049 - 212 = 927995953 is a prime.

It is a super-2 number, since 2×9280000492 = 1722368181888004802, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 927999979 and 928000024.

It is not an unprimeable number, because it can be changed into a prime (928000043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624934 + ... + 1625504.

It is an arithmetic number, because the mean of its divisors is an integer number (59744256).

Almost surely, 2928000049 is an apocalyptic number.

It is an amenable number.

928000049 is a deficient number, since it is larger than the sum of its proper divisors (27908047).

928000049 is a wasteful number, since it uses less digits than its factorization.

928000049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 928000049 is about 30463.0932277075. The cubic root of 928000049 is about 975.3998093823.

The spelling of 928000049 in words is "nine hundred twenty-eight million, forty-nine", and thus it is an aban number.

Divisors: 1 67 127 191 571 8509 12797 24257 38257 72517 109061 1625219 4858639 7307087 13850747 928000049