Search a number
-
+
427552 = 2531431
BaseRepresentation
bin1101000011000100000
3210201111021
41220120200
5102140202
613055224
73430336
oct1503040
9721437
10427552
11272254
12187514
1311c7b8
14b1b56
1586a37
hex68620

427552 has 24 divisors (see below), whose sum is σ = 870912. Its totient is φ = 206400.

The previous prime is 427541. The next prime is 427579. The reversal of 427552 is 255724.

It is an unprimeable number.

427552 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, 777 + ... + 1207.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2427552 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 427552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

427552 is an abundant number, since it is smaller than the sum of its proper divisors (443360).

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

427552 is a wasteful number, since it uses less digits than its factorization.

427552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its digits is 2800, while the sum is 25.

The square root of 427552 is about 653.8746057158. The cubic root of 427552 is about 75.3349169967.

It can be divided in two parts, 427 and 552, that added together give a palindrome (979).

The spelling of 427552 in words is "four hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 431 496 862 992 1724 3448 6896 13361 13792 26722 53444 106888 213776 427552