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407421 = 32729223
BaseRepresentation
bin1100011011101111101
3202200212200
41203131331
5101014141
612422113
73314550
oct1433575
9680780
10407421
11259113
12177939
131135a1
14a8697
1580ab6
hex6377d

407421 has 24 divisors (see below), whose sum is σ = 698880. Its totient is φ = 223776.

The previous prime is 407401. The next prime is 407437. The reversal of 407421 is 124704.

It is a happy number.

It is not a de Polignac number, because 407421 - 26 = 407357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 407394 and 407403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1716 + ... + 1938.

It is an arithmetic number, because the mean of its divisors is an integer number (29120).

2407421 is an apocalyptic number.

It is an amenable number.

407421 is a deficient number, since it is larger than the sum of its proper divisors (291459).

407421 is a wasteful number, since it uses less digits than its factorization.

407421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 407421 is about 638.2953861654. The cubic root of 407421 is about 74.1334941216.

It can be divided in two parts, 4074 and 21, that added together give a triangular number (4095 = T90).

The spelling of 407421 in words is "four hundred seven thousand, four hundred twenty-one", and thus it is an iban number.

Divisors: 1 3 7 9 21 29 63 87 203 223 261 609 669 1561 1827 2007 4683 6467 14049 19401 45269 58203 135807 407421