Search a number
-
+
31742424 = 2332762981
BaseRepresentation
bin111100100010…
…1100111011000
32012201200102100
41321011213120
531111224144
63052203400
7533543340
oct171054730
965650370
1031742424
1116a1060a
12a769560
1367650cc
144303d20
152bc0269
hex1e459d8

31742424 has 48 divisors (see below), whose sum is σ = 98251920. Its totient is φ = 9069120.

The previous prime is 31742401. The next prime is 31742441. The reversal of 31742424 is 42424713.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30987 + ... + 31994.

It is an arithmetic number, because the mean of its divisors is an integer number (2046915).

Almost surely, 231742424 is an apocalyptic number.

It is an amenable number.

31742424 is an abundant number, since it is smaller than the sum of its proper divisors (66509496).

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

31742424 is a wasteful number, since it uses less digits than its factorization.

31742424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63000 (or 62993 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 31742424 is about 5634.0415333932. The cubic root of 31742424 is about 316.6260887371.

The spelling of 31742424 in words is "thirty-one million, seven hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 62981 125962 188943 251924 377886 440867 503848 566829 755772 881734 1133658 1322601 1511544 1763468 2267316 2645202 3526936 3967803 4534632 5290404 7935606 10580808 15871212 31742424