Search a number
-
+
61424 = 2411349
BaseRepresentation
bin1110111111110000
310010020222
432333300
53431144
61152212
7344036
oct167760
9103228
1061424
1142170
122b668
1321c5c
1418556
15132ee
hexeff0

61424 has 20 divisors (see below), whose sum is σ = 130200. Its totient is φ = 27840.

The previous prime is 61417. The next prime is 61441. The reversal of 61424 is 42416.

It is a congruent number.

It is an unprimeable number.

61424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

261424 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 61424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100).

61424 is an abundant number, since it is smaller than the sum of its proper divisors (68776).

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

61424 is a wasteful number, since it uses less digits than its factorization.

61424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 61424 is about 247.8386571946. The cubic root of 61424 is about 39.4559675974.

Adding to 61424 its product of digits (192), we get a palindrome (61616).

The spelling of 61424 in words is "sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 349 698 1396 2792 3839 5584 7678 15356 30712 61424