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3760265041 = 132532892
BaseRepresentation
bin1110000000100001…
…0001011101010001
3100201001121020220121
43200020101131101
530200111440131
61421043310241
7162116503561
oct34010213521
910631536817
103760265041
11165a631865
1288b37b381
1347c064400
1427958ada1
151701bc911
hexe0211751

3760265041 has 27 divisors (see below), whose sum is σ = 4197195219. Its totient is φ = 3367258752.

The previous prime is 3760265039. The next prime is 3760265051. The reversal of 3760265041 is 1405620673.

It is a happy number.

The square root of 3760265041 is 61321.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3449095441 + 311169600 = 58729^2 + 17640^2 .

It is not a de Polignac number, because 3760265041 - 21 = 3760265039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3760264988 and 3760265006.

It is not an unprimeable number, because it can be changed into a prime (3760265011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42250125 + ... + 42250213.

Almost surely, 23760265041 is an apocalyptic number.

3760265041 is the 61321-st square number.

3760265041 is the 30661-st centered octagonal number.

It is an amenable number.

3760265041 is a deficient number, since it is larger than the sum of its proper divisors (436930178).

3760265041 is an frugal number, since it uses more digits than its factorization.

3760265041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The cubic root of 3760265041 is about 1555.0325556402.

The spelling of 3760265041 in words is "three billion, seven hundred sixty million, two hundred sixty-five thousand, forty-one".

Divisors: 1 13 53 89 169 689 1157 2809 4717 7921 8957 15041 36517 61321 102973 250001 419813 474721 797173 1338649 3250013 5457569 22250089 42250169 70948397 289251157 3760265041