Search a number
-
+
407424 = 2731061
BaseRepresentation
bin1100011011110000000
3202200212210
41203132000
5101014144
612422120
73314553
oct1433600
9680783
10407424
11259116
12177940
131135a4
14a869a
1580ab9
hex63780

407424 has 32 divisors (see below), whose sum is σ = 1083240. Its totient is φ = 135680.

The previous prime is 407401. The next prime is 407437. The reversal of 407424 is 424704.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 407424.

It is a congruent number.

It is an unprimeable number.

407424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147 + ... + 914.

2407424 is an apocalyptic number.

It is an amenable number.

407424 is an abundant number, since it is smaller than the sum of its proper divisors (675816).

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

407424 is a wasteful number, since it uses less digits than its factorization.

407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 407424 is about 638.2977361702. The cubic root of 407424 is about 74.1336760791.

The spelling of 407424 in words is "four hundred seven thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1061 2122 3183 4244 6366 8488 12732 16976 25464 33952 50928 67904 101856 135808 203712 407424