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67417950 = 23521273539
BaseRepresentation
bin1000000010010…
…11011101011110
311200212012001010
410001023131132
5114224333300
610405000050
71446020535
oct401133536
9150765033
1067417950
1135068116
121a6b3026
1310c764a2
148d4d31c
155dbaa50
hex404b75e

67417950 has 48 divisors (see below), whose sum is σ = 168560640. Its totient is φ = 17831520.

The previous prime is 67417939. The next prime is 67417957. The reversal of 67417950 is 5971476.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67417899 and 67417908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67417957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17281 + ... + 20819.

It is an arithmetic number, because the mean of its divisors is an integer number (3511680).

Almost surely, 267417950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67417950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84280320).

67417950 is an abundant number, since it is smaller than the sum of its proper divisors (101142690).

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

67417950 is a wasteful number, since it uses less digits than its factorization.

67417950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 67417950 is about 8210.8434402319. The cubic root of 67417950 is about 406.9975993274.

The spelling of 67417950 in words is "sixty-seven million, four hundred seventeen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 127 150 254 381 635 762 1270 1905 3175 3539 3810 6350 7078 9525 10617 17695 19050 21234 35390 53085 88475 106170 176950 265425 449453 530850 898906 1348359 2247265 2696718 4494530 6741795 11236325 13483590 22472650 33708975 67417950