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507424 = 25101157
BaseRepresentation
bin1111011111000100000
3221210001111
41323320200
5112214144
614513104
74212241
oct1737040
9853044
10507424
11317265
12205794
13149c68
14d2cc8
15a0534
hex7be20

507424 has 24 divisors (see below), whose sum is σ = 1015308. Its totient is φ = 249600.

The previous prime is 507421. The next prime is 507431. The reversal of 507424 is 424705.

It can be written as a sum of positive squares in 2 ways, for example, as 490000 + 17424 = 700^2 + 132^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 507395 and 507404.

It is not an unprimeable number, because it can be changed into a prime (507421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3154 + ... + 3310.

2507424 is an apocalyptic number.

It is an amenable number.

507424 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

507424 is a wasteful number, since it uses less digits than its factorization.

507424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 507424 is about 712.3369988987. The cubic root of 507424 is about 79.7609530853.

The spelling of 507424 in words is "five hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 101 157 202 314 404 628 808 1256 1616 2512 3232 5024 15857 31714 63428 126856 253712 507424