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67187428 = 22721122833
BaseRepresentation
bin1000000000100…
…11001011100100
311200102110211021
410000103023210
5114144444203
610400020524
71444040500
oct400231344
9150373737
1067187428
1134a1aa00
121a601744
1310bc5599
148ccd300
155d725bd
hex40132e4

67187428 has 54 divisors (see below), whose sum is σ = 150391878. Its totient is φ = 26167680.

The previous prime is 67187423. The next prime is 67187431. The reversal of 67187428 is 82478176.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 12545764 = 7392^2 + 3542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67187423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22300 + ... + 25132.

Almost surely, 267187428 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 67187428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75195939).

67187428 is an abundant number, since it is smaller than the sum of its proper divisors (83204450).

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

67187428 is a wasteful number, since it uses less digits than its factorization.

67187428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2853 counting only the distinct ones).

The product of its digits is 150528, while the sum is 43.

The square root of 67187428 is about 8196.7937634175. The cubic root of 67187428 is about 406.5331877023.

The spelling of 67187428 in words is "sixty-seven million, one hundred eighty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 2833 3388 5666 5929 11332 11858 19831 23716 31163 39662 62326 79324 124652 138817 218141 277634 342793 436282 555268 685586 872564 1371172 1526987 2399551 3053974 4799102 6107948 9598204 16796857 33593714 67187428