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68132049 = 3232979431
BaseRepresentation
bin1000000111110…
…01110011010001
311202012110121020
410003321303101
5114420211144
610432150053
71455053466
oct403716321
9152173536
1068132049
1135505687
121a998329
131116652b
14909766d
155eac419
hex40f9cd1

68132049 has 32 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 41321280.

The previous prime is 68132041. The next prime is 68132063. The reversal of 68132049 is 94023186.

It is not a de Polignac number, because 68132049 - 23 = 68132041 is a prime.

It is a super-2 number, since 2×681320492 = 9283952201876802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68132041) 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 31 ways as a sum of consecutive naturals, for example, 157864 + ... + 158294.

It is an arithmetic number, because the mean of its divisors is an integer number (3110400).

Almost surely, 268132049 is an apocalyptic number.

68132049 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

68132049 is a deficient number, since it is larger than the sum of its proper divisors (31400751).

68132049 is a wasteful number, since it uses less digits than its factorization.

68132049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 68132049 is about 8254.2140146715. The cubic root of 68132049 is about 408.4295444909.

The spelling of 68132049 in words is "sixty-eight million, one hundred thirty-two thousand, forty-nine".

Divisors: 1 3 23 29 69 79 87 237 431 667 1293 1817 2001 2291 5451 6873 9913 12499 29739 34049 37497 52693 102147 158079 287477 783127 862431 987421 2349381 2962263 22710683 68132049