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3782505461 = 72461167449
BaseRepresentation
bin1110000101110100…
…0111001111110101
3100202121110012000212
43201131013033311
530221310133321
61423200115205
7162506523500
oct34135071765
910677405025
103782505461
111671142379
12896905b05
13483850517
1427c4da137
1517211255b
hexe17473f5

3782505461 has 12 divisors (see below), whose sum is σ = 4409628300. Its totient is φ = 3235095360.

The previous prime is 3782505451. The next prime is 3782505497. The reversal of 3782505461 is 1645052873.

It can be written as a sum of positive squares in 2 ways, for example, as 1120977361 + 2661528100 = 33481^2 + 51590^2 .

It is a de Polignac number, because none of the positive numbers 2k-3782505461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782505401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61136 + ... + 106313.

It is an arithmetic number, because the mean of its divisors is an integer number (367469025).

Almost surely, 23782505461 is an apocalyptic number.

It is an amenable number.

3782505461 is a deficient number, since it is larger than the sum of its proper divisors (627122839).

3782505461 is a wasteful number, since it uses less digits than its factorization.

3782505461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167924 (or 167917 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 3782505461 is about 61502.0768836305. The cubic root of 3782505461 is about 1558.0923236289.

The spelling of 3782505461 in words is "three billion, seven hundred eighty-two million, five hundred five thousand, four hundred sixty-one".

Divisors: 1 7 49 461 3227 22589 167449 1172143 8205001 77193989 540357923 3782505461