Search a number
-
+
642033 = 3374379
BaseRepresentation
bin10011100101111110001
31012121201000
42130233301
5131021113
621432213
75312550
oct2345761
91177630
10642033
113a9407
1226b669
13196302
14129d97
15ca373
hex9cbf1

642033 has 32 divisors (see below), whose sum is σ = 1126400. Its totient is φ = 353808.

The previous prime is 642013. The next prime is 642049. The reversal of 642033 is 330246.

It is not a de Polignac number, because 642033 - 26 = 641969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 641997 and 642015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8088 + ... + 8166.

It is an arithmetic number, because the mean of its divisors is an integer number (35200).

2642033 is an apocalyptic number.

642033 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

642033 is a deficient number, since it is larger than the sum of its proper divisors (484367).

642033 is a wasteful number, since it uses less digits than its factorization.

642033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 642033 is about 801.2696175446. The cubic root of 642033 is about 86.2685404377.

Subtracting from 642033 its product of nonzero digits (432), we obtain a square (641601 = 8012).

Adding to 642033 its reverse (330246), we get a palindrome (972279).

The spelling of 642033 in words is "six hundred forty-two thousand, thirty-three".

Divisors: 1 3 7 9 21 27 43 63 79 129 189 237 301 387 553 711 903 1161 1659 2133 2709 3397 4977 8127 10191 14931 23779 30573 71337 91719 214011 642033