Search a number
-
+
8742744 = 2332313917
BaseRepresentation
bin100001010110…
…011101011000
3121110011210100
4201112131120
54214231434
6511215400
7134212023
oct41263530
917404710
108742744
114a3160a
122b17560
131a7152a
1412381ba
15b7a699
hex856758

8742744 has 48 divisors (see below), whose sum is σ = 24448320. Its totient is φ = 2819520.

The previous prime is 8742739. The next prime is 8742779. The reversal of 8742744 is 4472478.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8742699 and 8742708.

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 274 + ... + 4190.

It is an arithmetic number, because the mean of its divisors is an integer number (509340).

Almost surely, 28742744 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 8742744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224160).

8742744 is an abundant number, since it is smaller than the sum of its proper divisors (15705576).

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

8742744 is a wasteful number, since it uses less digits than its factorization.

8742744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3953 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 8742744 is about 2956.8131493214. The cubic root of 8742744 is about 206.0072891504.

The spelling of 8742744 in words is "eight million, seven hundred forty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 3917 7834 11751 15668 23502 31336 35253 47004 70506 94008 121427 141012 242854 282024 364281 485708 728562 971416 1092843 1457124 2185686 2914248 4371372 8742744