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61640631 = 32132937491
BaseRepresentation
bin1110101100100…
…0111110110111
311021222200001100
43223020332313
5111240000011
610041101143
71345636203
oct353107667
9137880040
1061640631
1131881578
12187877b3
13ca02960
148287b03
155628d56
hex3ac8fb7

61640631 has 48 divisors (see below), whose sum is σ = 102080160. Its totient is φ = 35562240.

The previous prime is 61640597. The next prime is 61640633. The reversal of 61640631 is 13604616.

61640631 is a `hidden beast` number, since 616 + 40 + 6 + 3 + 1 = 666.

It is not a de Polignac number, because 61640631 - 29 = 61640119 is a prime.

It is a super-2 number, since 2×616406312 = 7599134780156322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61640595 and 61640604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61640633) 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 47 ways as a sum of consecutive naturals, for example, 125296 + ... + 125786.

It is an arithmetic number, because the mean of its divisors is an integer number (2126670).

Almost surely, 261640631 is an apocalyptic number.

61640631 is a deficient number, since it is larger than the sum of its proper divisors (40439529).

61640631 is a wasteful number, since it uses less digits than its factorization.

61640631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61640631 is about 7851.1547558305. The cubic root of 61640631 is about 395.0229778867.

The spelling of 61640631 in words is "sixty-one million, six hundred forty thousand, six hundred thirty-one".

Divisors: 1 3 9 13 29 37 39 87 111 117 261 333 377 481 491 1073 1131 1443 1473 3219 3393 4329 4419 6383 9657 13949 14239 18167 19149 41847 42717 54501 57447 125541 128151 163503 185107 236171 526843 555321 708513 1580529 1665963 2125539 4741587 6848959 20546877 61640631