Search a number
-
+
3782088045 = 3459338489
BaseRepresentation
bin1110000101101110…
…0001010101101101
3100202120122222110000
43201123201111231
530221203304140
61423143134513
7162503134521
oct34133412555
910676588400
103782088045
1116709877aa
12896744439
13483735528
1427c42bd81
1517207da30
hexe16e156d

3782088045 has 20 divisors (see below), whose sum is σ = 6779743740. Its totient is φ = 2017113408.

The previous prime is 3782088043. The next prime is 3782088049. The reversal of 3782088045 is 5408802873.

It can be written as a sum of positive squares in 2 ways, for example, as 2515724649 + 1266363396 = 50157^2 + 35586^2 .

It is not a de Polignac number, because 3782088045 - 21 = 3782088043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782088043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4668840 + ... + 4669649.

It is an arithmetic number, because the mean of its divisors is an integer number (338987187).

Almost surely, 23782088045 is an apocalyptic number.

It is an amenable number.

3782088045 is a deficient number, since it is larger than the sum of its proper divisors (2997655695).

3782088045 is an equidigital number, since it uses as much as digits as its factorization.

3782088045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9338506 (or 9338497 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3782088045 is about 61498.6832785874. The cubic root of 3782088045 is about 1558.0350074226.

The spelling of 3782088045 in words is "three billion, seven hundred eighty-two million, eighty-eight thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 9338489 28015467 46692445 84046401 140077335 252139203 420232005 756417609 1260696015 3782088045