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67696048 = 2472791093
BaseRepresentation
bin1000000100011…
…11010110110000
311201101022112001
410002033112300
5114312233143
610414543344
71451256400
oct402172660
9151338461
1067696048
1135238052
121a807b54
1311042c44
148dc2800
155e2314d
hex408f5b0

67696048 has 60 divisors (see below), whose sum is σ = 154647840. Its totient is φ = 28619136.

The previous prime is 67696037. The next prime is 67696049. The reversal of 67696048 is 84069676.

It is a junction number, because it is equal to n+sod(n) for n = 67695989 and 67696007.

It is not an unprimeable number, because it can be changed into a prime (67696049) 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 11 ways as a sum of consecutive naturals, for example, 61390 + ... + 62482.

It is an arithmetic number, because the mean of its divisors is an integer number (2577464).

Almost surely, 267696048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67696048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77323920).

67696048 is an abundant number, since it is smaller than the sum of its proper divisors (86951792).

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

67696048 is a wasteful number, since it uses less digits than its factorization.

67696048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 67696048 is about 8227.7608132468. The cubic root of 67696048 is about 407.5564512106.

The spelling of 67696048 in words is "sixty-seven million, six hundred ninety-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 316 392 553 632 784 1093 1106 1264 2186 2212 3871 4372 4424 7651 7742 8744 8848 15302 15484 17488 30604 30968 53557 61208 61936 86347 107114 122416 172694 214228 345388 428456 604429 690776 856912 1208858 1381552 2417716 4231003 4835432 8462006 9670864 16924012 33848024 67696048