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67749741 = 3253173821
BaseRepresentation
bin1000000100111…
…00011101101101
311201111001011200
410002130131231
5114320442431
610420040113
71451602053
oct402343555
9151431150
1067749741
1135274424
121a833039
1311061507
148dd81d3
155e33ee6
hex409c76d

67749741 has 24 divisors (see below), whose sum is σ = 100405656. Its totient is φ = 44004480.

The previous prime is 67749733. The next prime is 67749751. The reversal of 67749741 is 14794776.

It can be written as a sum of positive squares in 4 ways, for example, as 23474025 + 44275716 = 4845^2 + 6654^2 .

It is not a de Polignac number, because 67749741 - 23 = 67749733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67749751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82111 + ... + 82931.

It is an arithmetic number, because the mean of its divisors is an integer number (4183569).

Almost surely, 267749741 is an apocalyptic number.

It is an amenable number.

67749741 is a deficient number, since it is larger than the sum of its proper divisors (32655915).

67749741 is a wasteful number, since it uses less digits than its factorization.

67749741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1050 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 67749741 is about 8231.0230834326. The cubic root of 67749741 is about 407.6641736270.

The spelling of 67749741 in words is "sixty-seven million, seven hundred forty-nine thousand, seven hundred forty-one".

Divisors: 1 3 9 53 159 173 477 519 821 1557 2463 7389 9169 27507 43513 82521 130539 142033 391617 426099 1278297 7527749 22583247 67749741