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3782350485 = 345173171733
BaseRepresentation
bin1110000101110010…
…0001011010010101
3100202121011022110000
43201130201122111
530221240203420
61423152521513
7162505306614
oct34134413225
910677138400
103782350485
1116710469a1
12896850299
134837c7b14
1427c49987b
151720d1690
hexe1721695

3782350485 has 80 divisors (see below), whose sum is σ = 7205852016. Its totient is φ = 1891510272.

The previous prime is 3782350457. The next prime is 3782350487. The reversal of 3782350485 is 5840532873.

3782350485 is a `hidden beast` number, since 378 + 235 + 0 + 48 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 187388721 + 3594961764 = 13689^2 + 59958^2 .

It is not a de Polignac number, because 3782350485 - 29 = 3782349973 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3782350485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782350487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2181679 + ... + 2183411.

Almost surely, 23782350485 is an apocalyptic number.

It is an amenable number.

3782350485 is a deficient number, since it is larger than the sum of its proper divisors (3423501531).

3782350485 is a wasteful number, since it uses less digits than its factorization.

3782350485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 3782350485 is about 61500.8169457935. The cubic root of 3782350485 is about 1558.0710440638.

The spelling of 3782350485 in words is "three billion, seven hundred eighty-two million, three hundred fifty thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 317 405 459 765 951 1377 1585 1733 2295 2853 4755 5199 5389 6885 8559 8665 14265 15597 16167 25677 25995 26945 29461 42795 46791 48501 77985 80835 88383 128385 140373 145503 147305 233955 242505 265149 436509 441915 549361 701865 727515 795447 1325745 1648083 2182545 2386341 2746805 3977235 4944249 8240415 9339137 11931705 14832747 24721245 28017411 44498241 46695685 74163735 84052233 140087055 222491205 252156699 420261165 756470097 1260783495 3782350485