Search a number
-
+
416528 = 2473719
BaseRepresentation
bin1100101101100010000
3210011100222
41211230100
5101312103
612532212
73353240
oct1455420
9704328
10416528
11264a42
12181068
13117788
14abb20
1583638
hex65b10

416528 has 20 divisors (see below), whose sum is σ = 922560. Its totient is φ = 178464.

The previous prime is 416513. The next prime is 416531. The reversal of 416528 is 825614.

416528 is nontrivially palindromic in base 15.

416528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 416497 and 416506.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1748 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

2416528 is an apocalyptic number.

It is an amenable number.

416528 is an abundant number, since it is smaller than the sum of its proper divisors (506032).

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

416528 is a wasteful number, since it uses less digits than its factorization.

416528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3728 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 416528 is about 645.3898046917. The cubic root of 416528 is about 74.6817925705.

The spelling of 416528 in words is "four hundred sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 3719 7438 14876 26033 29752 52066 59504 104132 208264 416528