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427024 = 24132053
BaseRepresentation
bin1101000010000010000
3210200202201
41220100100
5102131044
613052544
73425653
oct1502020
9720681
10427024
11271914
12187154
1311c4a0
14b189a
15867d4
hex68410

427024 has 20 divisors (see below), whose sum is σ = 891436. Its totient is φ = 196992.

The previous prime is 427013. The next prime is 427039. The reversal of 427024 is 420724.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 291600 = 368^2 + 540^2 .

It is a junction number, because it is equal to n+sod(n) for n = 426992 and 427010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 819 + ... + 1234.

2427024 is an apocalyptic number.

It is an amenable number.

427024 is an abundant number, since it is smaller than the sum of its proper divisors (464412).

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

427024 is a wasteful number, since it uses less digits than its factorization.

427024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 427024 is about 653.4707338512. The cubic root of 427024 is about 75.3038929174.

Adding to 427024 its reverse (420724), we get a palindrome (847748).

It can be divided in two parts, 4 and 27024, that added together give a triangular number (27028 = T232).

The spelling of 427024 in words is "four hundred twenty-seven thousand, twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 26 52 104 208 2053 4106 8212 16424 26689 32848 53378 106756 213512 427024