Search a number
-
+
7283680832 = 26294195717
BaseRepresentation
bin1101100100010010…
…00010011001000000
3200210121112022201202
412302021002121000
5104404110241312
63202430320332
7345332160041
oct66211023100
920717468652
107283680832
1130a84a223a
1214b33590a8
138c100bb1c
144d14c28c8
152c96a29c2
hex1b2242640

7283680832 has 56 divisors (see below), whose sum is σ = 15316794360. Its totient is φ = 3430461440.

The previous prime is 7283680813. The next prime is 7283680867. The reversal of 7283680832 is 2380863827.

It can be written as a sum of positive squares in 4 ways, for example, as 189998656 + 7093682176 = 13784^2 + 84224^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 28238 + ... + 123954.

It is an arithmetic number, because the mean of its divisors is an integer number (273514185).

Almost surely, 27283680832 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 7283680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658397180).

7283680832 is an abundant number, since it is smaller than the sum of its proper divisors (8033113528).

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

7283680832 is a wasteful number, since it uses less digits than its factorization.

7283680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95799 (or 95789 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 7283680832 is about 85344.4833132171. The cubic root of 7283680832 is about 1938.4308024947.

The spelling of 7283680832 in words is "seven billion, two hundred eighty-three million, six hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 164 232 328 464 656 928 1189 1312 1856 2378 2624 4756 9512 19024 38048 76096 95717 191434 382868 765736 1531472 2775793 3062944 3924397 5551586 6125888 7848794 11103172 15697588 22206344 31395176 44412688 62790352 88825376 113807513 125580704 177650752 227615026 251161408 455230052 910460104 1820920208 3641840416 7283680832