Search a number
-
+
413472 = 2535973
BaseRepresentation
bin1100100111100100000
3210000011210
41210330200
5101212342
612510120
73341313
oct1447440
9700153
10413472
11262714
1217b340
13116277
14aa97a
158279c
hex64f20

413472 has 48 divisors (see below), whose sum is σ = 1118880. Its totient is φ = 133632.

The previous prime is 413461. The next prime is 413477. The reversal of 413472 is 274314.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (413477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5628 + ... + 5700.

It is an arithmetic number, because the mean of its divisors is an integer number (23310).

2413472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559440).

413472 is an abundant number, since it is smaller than the sum of its proper divisors (705408).

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

413472 is a wasteful number, since it uses less digits than its factorization.

413472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 413472 is about 643.0178846657. The cubic root of 413472 is about 74.4987012371.

Adding to 413472 its reverse (274314), we get a palindrome (687786).

The spelling of 413472 in words is "four hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 73 96 118 146 177 219 236 292 354 438 472 584 708 876 944 1168 1416 1752 1888 2336 2832 3504 4307 5664 7008 8614 12921 17228 25842 34456 51684 68912 103368 137824 206736 413472