Search a number
-
+
612048 = 24341311
BaseRepresentation
bin10010101011011010000
31011002120110
42111123100
5124041143
621041320
75126253
oct2253320
91132513
10612048
11388928
12256240
13185778
1411d09a
15c1533
hex956d0

612048 has 40 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 198400.

The previous prime is 612043. The next prime is 612049. The reversal of 612048 is 840216.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 612048.

It is not an unprimeable number, because it can be changed into a prime (612041) by changing a digit.

612048 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 7 ways as a sum of consecutive naturals, for example, 1813 + ... + 2123.

2612048 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 612048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448).

612048 is an abundant number, since it is smaller than the sum of its proper divisors (1012848).

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

612048 is a wasteful number, since it uses less digits than its factorization.

612048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 612048 is about 782.3349666224. The cubic root of 612048 is about 84.9040670859.

The spelling of 612048 in words is "six hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 311 328 492 622 656 933 984 1244 1866 1968 2488 3732 4976 7464 12751 14928 25502 38253 51004 76506 102008 153012 204016 306024 612048