Search a number
-
+
742742 = 272111353
BaseRepresentation
bin10110101010101010110
31101201211222
42311111112
5142231432
623530342
76212300
oct2652526
91351758
10742742
11468040
122b99b2
132000c0
14154970
15ea112
hexb5556

742742 has 48 divisors (see below), whose sum is σ = 1551312. Its totient is φ = 262080.

The previous prime is 742723. The next prime is 742757. The reversal of 742742 is 247247.

742742 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

742742 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 23 ways as a sum of consecutive naturals, for example, 13988 + ... + 14040.

It is an arithmetic number, because the mean of its divisors is an integer number (32319).

2742742 is an apocalyptic number.

742742 is an abundant number, since it is smaller than the sum of its proper divisors (808570).

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

742742 is a wasteful number, since it uses less digits than its factorization.

742742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its digits is 3136, while the sum is 26.

The square root of 742742 is about 861.8248081832. The cubic root of 742742 is about 90.5619977490.

Adding to 742742 its reverse (247247), we get a palindrome (989989).

The spelling of 742742 in words is "seven hundred forty-two thousand, seven hundred forty-two", and thus it is an iban number.

Divisors: 1 2 7 11 13 14 22 26 49 53 77 91 98 106 143 154 182 286 371 539 583 637 689 742 1001 1078 1166 1274 1378 2002 2597 4081 4823 5194 7007 7579 8162 9646 14014 15158 28567 33761 53053 57134 67522 106106 371371 742742