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67424049 = 33721141113
BaseRepresentation
bin1000000010011…
…00111100110001
311200212111102000
410001030330301
5114230032144
610405044213
71446044400
oct401147461
9150774360
1067424049
1135071760
121a6b6669
1310c791b4
148d51637
155dbc769
hex404cf31

67424049 has 96 divisors (see below), whose sum is σ = 130999680. Its totient is φ = 33868800.

The previous prime is 67424047. The next prime is 67424069. The reversal of 67424049 is 94042476.

It is not a de Polignac number, because 67424049 - 21 = 67424047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67424047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596617 + ... + 596729.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 267424049 is an apocalyptic number.

It is an amenable number.

67424049 is a deficient number, since it is larger than the sum of its proper divisors (63575631).

67424049 is a wasteful number, since it uses less digits than its factorization.

67424049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 67424049 is about 8211.2148309492. The cubic root of 67424049 is about 407.0098720407.

It can be divided in two parts, 6742404 and 9, that multiplied together give a triangular number (60681636 = T11016).

The spelling of 67424049 in words is "sixty-seven million, four hundred twenty-four thousand, forty-nine".

Divisors: 1 3 7 9 11 21 27 33 41 49 63 77 99 113 123 147 189 231 287 297 339 369 441 451 539 693 791 861 1017 1107 1243 1323 1353 1617 2009 2079 2373 2583 3051 3157 3729 4059 4633 4851 5537 6027 7119 7749 8701 9471 11187 12177 13899 14553 16611 18081 21357 22099 26103 28413 32431 33561 41697 49833 50963 54243 60907 66297 78309 85239 97293 125091 149499 152889 182721 198891 227017 234927 291879 356741 458667 548163 596673 681051 875637 1070223 1376001 1644489 2043153 2497187 3210669 6129459 7491561 9632007 22474683 67424049