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67426216 = 231113173467
BaseRepresentation
bin1000000010011…
…01011110101000
311200212121101021
410001031132220
5114230114331
610405102224
71446053614
oct401153650
9150777337
1067426216
1135073350
121a6b7974
1310c7a190
148d52344
155dbd211
hex404d7a8

67426216 has 64 divisors (see below), whose sum is σ = 157308480. Its totient is φ = 26618880.

The previous prime is 67426213. The next prime is 67426223. The reversal of 67426216 is 61262476.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (67426213) 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 15 ways as a sum of consecutive naturals, for example, 17715 + ... + 21181.

It is an arithmetic number, because the mean of its divisors is an integer number (2457945).

Almost surely, 267426216 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 67426216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78654240).

67426216 is an abundant number, since it is smaller than the sum of its proper divisors (89882264).

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

67426216 is a wasteful number, since it uses less digits than its factorization.

67426216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3510 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 67426216 is about 8211.3467835672. The cubic root of 67426216 is about 407.0142324084.

The spelling of 67426216 in words is "sixty-seven million, four hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 748 884 1144 1496 1768 2431 3467 4862 6934 9724 13868 19448 27736 38137 45071 58939 76274 90142 117878 152548 180284 235756 305096 360568 471512 495781 648329 766207 991562 1296658 1532414 1983124 2593316 3064828 3966248 5186632 6129656 8428277 16856554 33713108 67426216