Search a number
-
+
3780755616 = 253113580261
BaseRepresentation
bin1110000101011001…
…1100000010100000
3100202111011021200210
43201112130002200
530220333134431
61423054414120
7162455615061
oct34126340240
910674137623
103780755616
111670157720
12896201340
13483389c01
1427c1a2568
15171db8d46
hexe159c0a0

3780755616 has 48 divisors (see below), whose sum is σ = 10826712288. Its totient is φ = 1145683200.

The previous prime is 3780755611. The next prime is 3780755639. The reversal of 3780755616 is 6165570873.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×37807556162 = 28588226055831078912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3780755611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789075 + ... + 1791186.

It is an arithmetic number, because the mean of its divisors is an integer number (225556506).

Almost surely, 23780755616 is an apocalyptic number.

It is an amenable number.

3780755616 is an abundant number, since it is smaller than the sum of its proper divisors (7045956672).

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

3780755616 is a wasteful number, since it uses less digits than its factorization.

3780755616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580285 (or 3580277 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 3780755616 is about 61487.8493362713. The cubic root of 3780755616 is about 1557.8520207727.

The spelling of 3780755616 in words is "three billion, seven hundred eighty million, seven hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3580261 7160522 10740783 14321044 21481566 28642088 39382871 42963132 57284176 78765742 85926264 114568352 118148613 157531484 171852528 236297226 315062968 343705056 472594452 630125936 945188904 1260251872 1890377808 3780755616