Search a number
-
+
2933440768 = 28101113453
BaseRepresentation
bin1010111011011000…
…1100000100000000
321120102210020020101
42232312030010000
522001430101033
61203025452144
7132456556306
oct25666140400
97512706211
102933440768
11127593a515
1269a4a1054
1337997bb8b
141db83c276
151227e797d
hexaed8c100

2933440768 has 36 divisors (see below), whose sum is σ = 5913449388. Its totient is φ = 1452185600.

The previous prime is 2933440753. The next prime is 2933440777. The reversal of 2933440768 is 8670443392.

It can be written as a sum of positive squares in 2 ways, for example, as 2040148224 + 893292544 = 45168^2 + 29888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30871 + ... + 82582.

It is an arithmetic number, because the mean of its divisors is an integer number (164262483).

Almost surely, 22933440768 is an apocalyptic number.

It is an amenable number.

2933440768 is an abundant number, since it is smaller than the sum of its proper divisors (2980008620).

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

2933440768 is a wasteful number, since it uses less digits than its factorization.

2933440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113570 (or 113556 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The square root of 2933440768 is about 54161.2478438228. The cubic root of 2933440768 is about 1431.5035887425.

The spelling of 2933440768 in words is "two billion, nine hundred thirty-three million, four hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 6464 12928 25856 113453 226906 453812 907624 1815248 3630496 7260992 11458753 14521984 22917506 29043968 45835012 91670024 183340048 366680096 733360192 1466720384 2933440768