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3820767444 = 2232138164033
BaseRepresentation
bin1110001110111100…
…0100100011010100
3100212021110002121100
43203233010203110
530311104024234
61431044150100
7163452662454
oct34357044324
910767402540
103820767444
1116907a614a
128a7698330
1348b758c50
14283619d64
1517566e399
hexe3bc48d4

3820767444 has 36 divisors (see below), whose sum is σ = 10400979316. Its totient is φ = 1175620608.

The previous prime is 3820767443. The next prime is 3820767463. The reversal of 3820767444 is 4447670283.

3820767444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 556016400 + 3264751044 = 23580^2 + 57138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×38207674442 = 29196527722260586272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3820767444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820767443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4081549 + ... + 4082484.

Almost surely, 23820767444 is an apocalyptic number.

It is an amenable number.

3820767444 is an abundant number, since it is smaller than the sum of its proper divisors (6580211872).

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

3820767444 is a wasteful number, since it uses less digits than its factorization.

3820767444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164056 (or 8164051 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 3820767444 is about 61812.3567258198. The cubic root of 3820767444 is about 1563.3283424731.

The spelling of 3820767444 in words is "three billion, eight hundred twenty million, seven hundred sixty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8164033 16328066 24492099 32656132 48984198 73476297 97968396 106132429 146952594 212264858 293905188 318397287 424529716 636794574 955191861 1273589148 1910383722 3820767444