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67949838 = 232111133037
BaseRepresentation
bin1000000110011…
…01010100001110
311201212012122200
410003031110032
5114343343323
610424222330
71453364325
oct403152416
9151765580
1067949838
11353a07a0
121a90a9a6
1311101608
14904b0bc
155e73443
hex40cd50e

67949838 has 48 divisors (see below), whose sum is σ = 162083376. Its totient is φ = 20401920.

The previous prime is 67949803. The next prime is 67949839. The reversal of 67949838 is 83894976.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67949839) 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 23 ways as a sum of consecutive naturals, for example, 20856 + ... + 23892.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737).

Almost surely, 267949838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67949838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81041688).

67949838 is an abundant number, since it is smaller than the sum of its proper divisors (94133538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67949838 is a wasteful number, since it uses less digits than its factorization.

67949838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3166 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 67949838 is about 8243.1691721085. The cubic root of 67949838 is about 408.0651208051.

The spelling of 67949838 in words is "sixty-seven million, nine hundred forty-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 198 226 339 678 1017 1243 2034 2486 3037 3729 6074 7458 9111 11187 18222 22374 27333 33407 54666 66814 100221 200442 300663 343181 601326 686362 1029543 2059086 3088629 3774991 6177258 7549982 11324973 22649946 33974919 67949838