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67040442 = 23275310039
BaseRepresentation
bin1111111110111…
…1010010111010
311200011000012100
43333233102322
5114130243232
610352524230
71442556120
oct377572272
9150130170
1067040442
113492a527
121a550676
1310b73701
148c91910
155d43c7c
hex3fef4ba

67040442 has 48 divisors (see below), whose sum is σ = 169153920. Its totient is φ = 18791136.

The previous prime is 67040399. The next prime is 67040443. The reversal of 67040442 is 24404076.

It is not an unprimeable number, because it can be changed into a prime (67040443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659 + ... + 11697.

It is an arithmetic number, because the mean of its divisors is an integer number (3524040).

Almost surely, 267040442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67040442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84576960).

67040442 is an abundant number, since it is smaller than the sum of its proper divisors (102113478).

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

67040442 is a wasteful number, since it uses less digits than its factorization.

67040442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10107 (or 10104 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 67040442 is about 8187.8227875303. The cubic root of 67040442 is about 406.2365135720.

The spelling of 67040442 in words is "sixty-seven million, forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 3339 6678 10039 20078 30117 60234 70273 90351 140546 180702 210819 421638 532067 632457 1064134 1264914 1596201 3192402 3724469 4788603 7448938 9577206 11173407 22346814 33520221 67040442